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- On a equality for 3-dimensional manifolds.
Thomas Friedrich
- Annales Societatis Mathematicae Polonae, Seir X: Commentationes Mathematicae XVIII (1975), 31-32.
- Über die n-totale Absolutkrümmung der Ordnung beta > 1.
Thomas Friedrich
- Colloquium Mathematicum, vol. XXXI Fasc. (1974), 83-86.
- Berandete Mannigfaltigkeiten in Euklidischen Räumen.
Thomas Friedrich
- Demonstratio Mathematica, vol. VII No. 3 (1974), 327-336.
- A characterization of the disc.
Thomas Friedrich
- Colloquium Mathematicum, vol. XXXII, Fasc. 2 (1974), 77-81.
- Über p-reguläre Abbildungen von Sphären in Grassmannsche Mannigfaltigkeiten.
Thomas Friedrich and Peter Wintgen
- Mathematische Nachrichten 66 (1975), 247-253.
- m-Funktionen and ihre Anwendung auf die totale Absolutkrümmung.
Thomas Friedrich
- Mathematische Nachrichten 67 (1975), 281-301.
- Über SL-Mannigfaltigkeiten.
Thomas Friedrich and Andreas Nestke
- Mathematische Nachrichten 85 (1978), 31-36.
- Eine Bemerkung über das Produkt im Kohomologiering von pi-Mannigfaltigkeiten.
Thomas Friedrich
- Mathematische Nachrichten 84 (1978), 329-332.
- Ein Kriterium für die formale Selbstadjungiertheit des Dirac-Operators.
Thomas Friedrich and Sonja Sulanke
- Coll. Math. vol. XL, Fasc. 2 (1979), 239-247.
- Immersionen höherer Ordnung kompakter Mannigfaltigkeiten in Euklidischen Räumen.
Helga Dlubek and Thomas Friedrich
- Beiträge zur Algebra and Geometrie, Heft 9 (1980), 83-101.
- Vorlesungen über K-Theorie.
Thomas Friedrich
- Teubner-Verlag Leipzig 1978.
- Spectral properties of the Dirac operator
Helga Dlubek and Thomas Friedrich
- Bulletin de L'Academie Polonaise de Sciences, Series des Sciences Mathematiques
vol. XXVII No. 7-8 (1979), 621-624.
- Spektraleigenschaften des Dirac-Operators - die Fundamentallösung seiner Wärmeleitungsgleichung
and die Asymptotenentwicklung der Zeta-Funktion
Helga Dlubek and Thomas Friedrich
- Journal of Differential Geometry 15 (1980), 1-26.
- Zur Existenz paralleler Spinorfelder über Riemannschen Mannigfaltigkeiten.
Thomas Friedrich
- Czechoslavakian-GDR-Polish scientific school on differential geometry
Boszkowo/ Poland 1978, Sci. Comm., Part 1,2; 104-124 (1979)
- Zur Existenz paralleler Spinorfelder über Riemannschen Mannigfaltigkeiten.
Thomas Friedrich
- Colloquium Mathematicum vol. XLIV, Fasc. 2 (1981), 277-290.
- Die Abhängigkeit des Dirac-Operators von der Spin-Struktur.
Thomas Friedrich
- Czechoslavakian-GDR-Polish scientific school on differential geometry
Boszkowo/ Poland 1978, Sci. Comm., Part 1,2; 74-103 (1979)
- Die Abhängigkeit des Dirac-Operators von der Spin-Struktur.
Thomas Friedrich
- Colloquium Mathematicum vol. XLVII, Fasc. 1 (1984), 57-62.
- Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
Thomas Friedrich
- Mathematische Nachrichten 97 (1980), 117-146.
- Self-duality of Riemannian manifolds and connections.
Thomas Friedrich
- in: Riemannian Geometry and Instantons, Teubner-Verlag Stuttgart, 56-104.
- Compact four-dimensional self-dual Einstein manifolds with positive scalar curvature.
Thomas Friedrich and Herbert Kurke
- Mathematische Nachrichten 106 (1982), 271-299.
- A geometric introduction to Yang-Mills-Equations
Thomas Friedrich
- Proceedings of the 5. Scheveningen Conference on Differential Equations.
Lecture Notes in Mathematics No. 926 (1982), 74-84.
- Probleme der Globalen Analysis mit Anwendungen auf homogene Räume.
Thomas Friedrich
- Mitteilungen der Mathematischen Gesellschaft der DDR Heft 2/4 (1981), 167-183.
- Note on fibrations of U(2) over S^2
Thomas Friedrich
- Mathematische Nachrichten 120 (1985), 139-140.
- On surfaces in four-spaces.
Thomas Friedrich
- Annals of Global Analysis and Geometry vol. 2 No. 3 (1984), 257-287.
- A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds.
Thomas Friedrich
- Mathematische Nachrichten 102 (1981), 53-56.
- Obituary. Peter Wintgen (1945-1981)
H.G. Bothe, Th. Friedrich and R. Sulanke
- Annals of Global Analysis and Geometry 2 (1984), 88-89.
- In memorian Peter Wintgen (2.11.1945 - 17.7.1981)
H.G. Bothe, Th. Friedrich and R. Sulanke
- Mitteilungen der Mathematischen Gesellschaft der DDR No. 4 (1984), 25-26.
- On Einstein metrics on the twistor space of a four-dimensional Riemannian manifold
Thomas Friedrich and Ralf Grunewald
- Mathematische Nachrichten 123 (1985), 55-60.
- An application of the twistor theory to surfaces in 4-dimensional manifolds.
Thomas Friedrich
- Proceedings of the Conference on Differential Geometry and its Applications, Nove Mesto 1983, 42-45.
- Yang-Mills Equations on the two-dimensional sphere.
Thomas Friedrich and Lutz Habermann
- Communications in Mathematical Physics 100 (1985), 231-243.
- A group-theoretical study of the stabilizer of a generic connection.
Helga Baum and Thomas Friedrich
- Annals of Global Analysis and Geometry vol. 3 No. 1 (1985), 120-128.
- On the first eigenvalue of the Dirac operator on 6-dimensional manifolds.
Thomas Friedrich and Ralf Grunewald
- Annals of Global Analysis and Geometry vol. 3 No. 3 (1985), 265-273.
- The geometry of t-holomorphic surfaces in S^4.
Thomas Friedirch
- Mathematische Nachrichten 137 (1988), 49-62.
- Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator.
Thomas Friedrich and Ines Kath
- Journal of Differential Geometry vol. 29 No. 2 (1989), 263-279.
- Riemannian manifolds with small eigenvalues of the Dirac operator.
Thomas Friedrich
- Proceedings of the 27th Arbeitstagung, Bonn 12. - 19.06.1987, Preprint MPI.
- Compact 5-dimensional Riemannian manifolds with parallel spinors
Thomas Friedrich and Ines Kath
- Mathematische Nachrichten 147 (1990), 161-165.
- Varietes riemanniennes compactes de dimension 7 admettant des spineurs de Killing.
Thomas Friedrich and Ines Kath
- C.R. Acad. Sci. Paris t. 307, Serie 1 (1988), 967-969.
- 7-dimensional compact Riemannian manifolds with Killing spinors.
Thomas Friedrich and Ines Kath
- Communication in Mathematical Physics 133 (1990), 543-561.
- On the conformal relation between twistors and Killing spinors.
Thomas Friedrich
- Supplemento de Rendiconti des Circole Mathematico de Palermo, Serie II, No. 22 (1989), 59-75.
- Die Fisher-Information und symplektische Strukturen.
Thomas Friedrich
- Mathematische Nachrichten 153 (1991), 273-296.
- Twistor spinors and the solutions of the equation (E) on Riemannian manifolds.
Thomas Friedrich and Olga Pokorna
- Supplemento de Rendiconti des Circole Mathematico de Palermo, Serie II, No. 26 (1991), 149-153.
- Twistors and Killing Spinors on Riemannian Manifolds.
Helga Baum, Thomas Friedrich, Ralf Grunewald and Ines Kath
- Teubner-Verlag Leipzig / Stuttgart
- The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator.
Thomas Friedrich
- Mathematische Annalen 295 (1993), 565-574.
- Eigenvalues of the Dirac operator, Twistors and Killing spinors on Riemannian manifolds.
Helga Baum and Thomas Friedrich
- In: "Clifford Algebras and Spinor Structures", (ed. by R. Ablamowicz and R. Lounesto)
Kluwer Academic Publisher 1995, 243-256.
- Harmonic spinors on conformally flat manifolds with S^1-symmetry.
Thomas Friedrich
- Mathematische Nachrichten 174 (1995), 151-158.
- Neue Invarianten der 4-dimensionalen Mannigfaltigkeiten.
Thomas Friedrich
- Preprint SFB 288 No. 156 (1995).
- Seiberg-Witten theory.
Jürgen Eichhorn and Thomas Friedrich
- Banach Center Publications vol. 39, Polish Academy of Sciences Warsaw 1997, 231-267.
- On nearly parallel G2-structures
Thomas Friedrich, Ines Kath, Uwe Semmelmann and Andrei Moroianu
- Journal of Geometry and Physics 23 (1997), 259-286. [ps-file]
- On Superminimal Surfaces
Thomas Friedrich
- Archivum Mathematicum vol. 33 (1997), 41-56. [ps-file]
- Dirac-Operatoren in der Riemannschen Geometrie
Thomas Friedrich
- Braunschweig, Wiesbaden: Vieweg 1997.
- Clifford Structures and Spinor Bundles
Thomas Friedrich and Andrzej Trautman
- SFB 288 Preprint Nr. 251, 1997, [ps-file]
- On the Spinor Representation of Surfaces in Euclidean 3-Spaces
Thomas Friedrich
- Journal of Geometry and Physics 28 (1998) 143-157, [ps-file]
- The Gaussian Measure on Algebraic Varieties
Ilka Agricola and Thomas Friedrich
- Fundamenta Mathematica 159 (1999), 91-98, [ps-file]
- Upper bounds for the first eigenvalue of the Dirac operator on surfaces
Ilka Agricola and Thomas Friedrich
- Journ. Geom. Phys. 30 (1999), 1-22, [ps-file]
- A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann, Thomas Friedrich
- Manuscripta Math. 100 (1999) , 231 - 258, [ps-file]
- The Einstein-Dirac Equation on Riemannian Spin Manifolds
Th. Friedrich and Eui Chul Kim
- Journ. Geom. Phys. 33 (2000), 128-172, [ps-file]
- A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curve
Th. Friedrich
- Coll. Mathematicum Vol. 83 (2000) No. 2, 209-216, [ps-file]
- Spin spaces, Lipschitz groups and spinor bundles
Th. Friedrich and A. Trautman
- Ann. Glob. Anal. Geom. 18 No. 3-4 (2000), 221-240, [pdf-file].
- Solutions of the Einstein-Dirac Equation on Riemannian 3-Manifolds with Constant Scalar Curvature.
Th. Friedrich
- Journ. Geom. Phys. 36 (2000), 199-210, [ps-file]
- New Solutions of the Einstein-Dirac Equation in Dimension n=3.
Th. Friedrich
- math.DG/0001156, SFB 288 Preprint No. 443 (2000), [ps-file]
- Dirac Operators in Riemannian Geometry.
Thomas Friedrich
- Graduate Studies in Mathematics 25, AMS, Providence, Rhode Island, 2000.
- Some Remarks on the Hijazi Inequality and Generalizations of the Killing Equation for Spinors.
Th. Friedrich and Eui-Chul Kim
- Journ. Geom. Phys. 37 (2001), 1-14, [ps-file]
- Globale Analysis - Differentialformen in Analysis, Geometrie und Physik.
I. Agricola und Th. Friedrich
- Vieweg Verlag 2001, [Präsentation]
- Weak Spin(9)-Structures on 16-dimensional Riemannian Manifolds.
Th. Friedrich
- Asian Journal of Mathematics 5 (2001), pp. 129-160. [ps-file]
- Cartan Spinor Bundles on Manifolds
Th. Friedrich
- Proc. XVII Workshop on Geometric Methods in Physics, Bialowieza, July 3-9, 1998, Wydawnictwa Uniwersytetu Warszawskiego 2001, pp. 253-261, [ps-file]
- Eigenvalue estimates for the Dirac operator depending on the Weyl tensor.
Th. Friedrich (Berlin) and Klaus-Dieter Kirchberg (Berlin)
- Journ. Geom. Phys. 41 (2002), 196-207, [ps-file],
- Parallel spinors and connections with skew-symmetric torsion in string theory.
Th. Friedrich (Berlin) and St. Ivanov (Sofia)
- Asian Journ. Math. 6 (2002), 303-336, [ps-file],
- Eigenvalue estimates of the Dirac operator depending on the Ricci tensor.
Th. Friedrich (Berlin) and Klaus-Dieter Kirchberg (Berlin)
- Math. Ann. 324, 799-816 (2002), [ps-file],
- Global Analysis: Differential Forms in Analysis, Geometry and Physics.
I. Agricola and Th. Friedrich (Berlin)
- AMS Publications 2002, GMS 52
- [AMS link] [errata]
- On types of non-integrable geometries.
Th. Friedrich (Berlin)
- Rend. del Circ. Mat. di Palermo 72 (2003), 99-113, [ps-file],
- Spin(9)-structures and connections with totally skew-symmetric torsion.
Th. Friedrich (Berlin)
- Journ. Geom. Phys. 47 (2003), 197-206, [ps-file],
- Almost contact manifolds, connections with torsion and parallel spinors.
Th. Friedrich (Berlin) and Stefan Ivanov (Sofia)
- J. Reine Ang. Math. 559 (2003), 217-236, [ps-file],
- Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds.
Th. Friedrich (Berlin) and Stefan Ivanov (Sofia)
- math.DG/0112201, Journ. Geom. Phys. 48 (2003), 1-11, [ps-file],
- Killing spinors in supergravity with 4-fluxes.
I. Agricola and Th. Friedrich (Berlin)
- math-DG/0307360, Class. Quantum Grav. 20 (2003), 4707-4715, [ps-file]
- The Casimir operator of a metric connection with skew-symmetric torsion.
I. Agricola and Th. Friedrich (Berlin)
- math-DG/0305233, Journ. Geom. Phys. 50 (2004), 188-204, ps-file
- On the holonomy of connections with skew-symmetric torsion.
I. Agricola and Th. Friedrich (Berlin)
- math-DG/0305069, Math. Ann. 328 (2004), 711-748, [ps-file]
- Almost Hermitian 6-Manifolds Revisited.
Bogdan Alexandrov, Thomas Friedrich and Nils Schoemann (Berlin)
- math-DG/0403131, Journ. Geom. Phys. 53 (2005), 1--30,
- ps-file
- On the Ricci tensor in the common sector of type II string theory.
Ilka Agricola, Thomas Friedrich, Paul-Andy Nagy, Christof Puhle (Berlin)
- hep-th/0412127, Class. Quantum Grav. 22 (2005), 2569-2577
- ps-file
- Elementargeometrie - Fachwissen für Studium und Mathematikunterricht.
Ilka Agricola, Thomas Friedrich (Berlin)
- Vieweg-Verlag, April 2005
- Präsentation
- Geometric structures of vectorial type.
Ilka Agricola and Thomas Friedrich (Berlin)
- Journ. Geom. Physics 56 (2006), pp. 2403-2414, math.DG/0509147. [pdf-file],
- Nearly Kähler and nearly parallel G_2-structures on spheres.
Th. Friedrich (Berlin)
- Archivum Mathematicum, Tomus 42 (2006), Supplement, 241-243, math.DG/0509146 [ps-file],
- G_2-manifolds with parallel characteristic torsion.
Th. Friedrich (Berlin)
- Journ. Differential Geometry and its Applications 25 (2007), 632-648, math.DG/0604441 (2006) [ps-file],
- Elementary Geometry.
I. Agricola and Th. Friedrich (Berlin)
- Publications of the AMS, Student Mathematical Library Vol. 43 (2008),
- Eigenvalues estimates for the Dirac operator in terms of Codazzi tensors.
Th. Friedrich, E.C. Kim
- Bull. Korean Math. Soc. 45, No. 2 (2008), pp. 365-373, arXiv: 0709.0780v1 [math.DG] (2007) [pdf-file], [link]
- Eigenvalue estimates for Dirac operators with parallel characteristic torsion.
I. Agricola, Th. Friedrich, and M. Kassuba (Berlin)
- Diff. Geom. and its Appl. 26 (2008), 613-624, math.DG/0612304 (2006) [pdf-file],
- Elementargeometrie - Fachwissen für Studium und Mathematikunterricht.
Ilka Agricola, Thomas Friedrich (Berlin)
- Vieweg-Verlag, 2008 (zweite Auflage)
- 3-Sasakian manifolds in dimension seven, their spinors and G_2 structures.
Ilka Agricola, Thomas Friedrich (Berlin)
- Journ. Geom. Phys. 60 (2010), 326-332, arXiv.org - 0812.1651, [pdf-file]
- Vektoranalysis - Differentialformen in Analysis, Geometrie und Physik.
Ilka Agricola (Marburg), Thomas Friedrich (Berlin)
- Vieweg + Teubner, März 2010 (zweite Auflage)
- A note on flat metric connections with antisymmetric torsion.
Ilka Agricola, Thomas Friedrich (Berlin)
- Diff. Geom. its Appl. 28 (2010), 480-487, arXiv.org - 0911.1602, [pdf-file]
- On the topology and the geometry of SO(3)-manifolds.
Ilka Agricola (Marburg), Julia Becker-Bender (Marburg), Thomas Friedrich (Berlin)
- Ann. Glob. Anal. Geom. 40, No. 1 (2011), 67-84, [Springer-Link], arXiv.org - 1010.0260
- The second Dirac eigenvalue of a nearly parallel G_2-manifold.
Thomas Friedrich (Berlin)
- Advances in Applied Clifford Algebras 22, No. 2 (2012), pp. 301-311, [Springer-Link], arXiv.org - 1104.0745
- Sp(3) structures on 14-dimensional manifolds.
Ilka Agricola (Marburg), Thomas Friedrich (Berlin), Jos Höll (Marburg)
- Journ. Geom. Phys. (69) 2013, pp. 12-30. DOI information: 10.1016/j.geomphys.2013.02.010, arXiv.org - 1210.3056, [pdf-file]
- Cocalibrated G_2-manifolds with Ricci flat characteristic connection.
Thomas Friedrich (Berlin)
- Comm. in Mathematics, Vol. 21 (2013), 1-13; arXiv.org - 1303.7444, [pdf-file]
- The classification of naturally reductive homogeneous spaces in dimensions n \le 6.
Ilka Agricola (Marburg), Ana Cristina Ferreira (Braga/Marburg), Thomas Friedrich (Berlin)
- Diff. Geom. its Appl. Vol. 39 (2015), 59-92, arXiv.org:1407.4936, [pdf-file]
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- Spinorial description of SU(3)- and G_2-manifolds.
Ilka Agricola (Marburg), Simon G. Chiossi (Salvador, Brazil), Thomas Friedrich (Berlin), and Jos Höll (Marburg)
- Journ. Geom. Phys. Vol. 98 (2015), 535-555; arXiv.org:1411.5663, [pdf-file]
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- S⁶ and the geometry of nearly Kähler 6-manifolds.
- Ilka Agricola (Marburg), Aleksandra Borowka (Krakow), Thomas Friedrich (Berlin)
- Diff.Geom. its Appl. 57 (2018), 75-86, arXiv.org:1707.08591, [pdf-file]
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- Buchbesprechung.
Thomas Friedrich (Berlin)
- erscheint in Jahresbericht Deutsche Mathematiker-Vereinigung vol. 118, Issue 1 (March 2016), 51-56. [pdf-file]
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