M. Abate/G. Patrizio: Finsler metrics - a global approach.
Springer 1994, 180p. 3-540-58465-X. DM 42.

18047 Ilka Agricola/Thomas Friedrich: Globale Analysis. Differentialformen
in Analysis, Geometrie und Physik. Vieweg 2001, 280p. Eur 32.

M. Akivis/V. Goldberg: Conformal differential geometry and its
generalizations. Wiley 1996. 0-471-14958-6. $70.

1755 P. Alexandrov (ed.): Die Hilbertschen Probleme. Leipzig 1983.

18121 Christian Bär: Elementare Differentialgeometrie.
De Gruyter 2001, 280p. Eur 25. "This is a highly recommendable
textbook ... the author does not hesitate to present some more
involved arguments concerning global results ... the title is
an understatement ..." (Bernd Wegner)

5091 Werner Ballmann: Manifolds of non-positive curvature.
Jber. DMV 92 (1990), 145-152.

Werner Ballmann: Riemannian geometry. Bull. AMS ... (2000), ...

D. Bao/S. Chern/Z. Shen: An introduction to Riemann-Finsler geometry.
Springer 2001, 430p. DM 98.

C. Bartocci/U. Bruzzo/D. Hernandez-Ruiperez: The geometry of 
supermanifolds. Kluwer 1991, 240p. HFL 140.

17914 Arnaud Beauville: Riemannian holonomy and algebraic geometry. Internet 2006, 26p.

Marcel Berger: A panoramic view of Riemannian geometry.
Springer 2003, 820p. Eur 60.

1793 Marcel Berger/Bernard Gostiaux: Differential geometry: Manifolds, 
curves, and surfaces. Springer 1988.

12205 Enrico Bernal/Johannes Wallner/Ulrich Schweizer: Leserbriefe zu
"Sangaku - japanische Geometrie". Spektrum 1998/12, 8-10.

1452 Richard Bishop/Samuel Goldberg: Tensor Analysis on manifolds. 
Dover 1980.

26709 Wilhelm Blaschke: Vorlesungen über Differentialgeometrie I. Springer 1921, 24op.

Wilhelm Blaschke/Kurt Leichtweis'': Elementare Differentialgeometrie.
Springer 1973, 370p. Eur 11.

E. Bloch: A first course in geometric topology and differential geometry.
Birkha''user 1997, 420p. 0-8176-3840-7. SFR 98.
"This is an interesting book, combining geometric topology and differential
geometry at a level only requiring standard calculus and some
acquaintance with linear algebra and differential equations." (F. Manhart)

18042 William Boothby: An introduction to differentiable manifolds and
Riemannian geometry. Academic Press 2003, 420p. Eur 74.

G. Bredon: Topology and geometry.
Springer 1993, 640p. 3-540-97926-3. DM 118.
Starting with general topology, this book discusses differentiable manifolds, 
cohomology, products and duality, the fundamental group, homology and 
homotopy. Introduces surfaces, Lie groups and fiber bundles.

17923 Siegfried Brehmer/H. Haar: Differentialformen und Vektoranalysis.
Dt. Vlg. Wiss. 1973, 300p.

11050 B. van Brunt/K. Grant: Potential applications of Weingarten
surfaces in CAGD I. Weingarten surfaces and surface shape investigation.
Comp. Aided Geom. Design 13 (1996), 569-582.

2673 Manfredo do Carmo: Differentialgeometrie von Kurven und Fla''chen.
Vieweg 1983.

Manfredo do Carmo: Riemannian geometry.
Birkhaeuser 1991, 320p. 3-7643-3490-8. SFR 88. A very beautiful and 
didactically excellent text book, warmly recommended. (H. Sachs)

22899 Henri Cartan: Differential forms. Dover 2006, 170p. Eur 10.

Isaac Chavel: Riemannian geometry.
Cambridge UP 1993, 350p. 0-521-43201-4. Pds. 35.

S.S. Chern: An elementary proof of the existence of isothermal parameters on 
a surface. Proc. AMS 6 (1955), 771-782.

Bennett Chow/Dan Knopf: The Ricci flow - an introduction.
AMS 2004, 330p.

Jeanne Clelland: From Frenet to Cartan - the method of moving frames.
AMS 2017, 410p. Eur 85.

Lawrence Conlon: Differentiable manifolds.
Birkaeuser 1992, 370p. DM 98. This is a careful exposition (Peter Michor)
of topological manifolds, local theory, global theory, flows and foliations, 
Lie groups, covectors and 1-forms, multilinear algebra, integration and 
cohomology, forms and foliations, Riemannian geometry.

4747 Alain Connes: Noncommutative geometry. 
4727 Casacuberta/Castellet, 40-58.

Alain Connes: Non-commutative differential geometry I-II.
Publ. IHES 62 (1986), 44-144.

Alain Connes: Geometrie non commutative. Inter-Editions 1990.

R. Darling: Differential forms and connections.
Cambridge UP 1994, 260p. Pds. 30.

1759 Jean Dieudonne': Grundzuege der modernen Analysis. Band 4.
Vieweg 1976.

H. Dirschmid: Tensoren und Felder. 
Springer 1995, 540p. 3-211-82754-4. DM 123.

2499 Boris Dubrovin/Sergei Novikov/Anatolii Fomenko: Geometria contemporanea. 
3 volumes. Editori Riuniti 1987.

Marcelo Epstein: The geometric language of continuum mechanics.
Cambridge UP 2010, 310p.

2302 Harley Flanders: Differential forms. Dover 1989.

21933 Sylvestre Gallot/Dominique Hulin/Jacques Lafontaine:
Riemannian geometry. Springer 2004, 320p. Eur 37.

23816 Gregor Giesen: Der Ricci-Fluß auf geschlossenen Flächen und Uniformisierung.
Diplomarbeit Univ. Tübingen 2007, 110p.

2574 O. Gil-Medrano/Peter Michor: The Riemannian manifold of all Riemannian 
metrics. Quart. J. Math. Oxford 42 (1991), 183-202. [3291]

2207 Samuel Goldberg: Curvature and homology. Dover 1982.

22243 Janusz Grabowski: Isomorphisms of algebras of smooth
functions revisited. Internet 2008, 6p.

Alfred Gray: Curves and surfaces. CRC Press 1993.

18035 Detlef Gromoll/Wilhelm Klingenberg/Wolfgang Meyer: Riemannsche Geometrie
im Großen. Springer LN Math. 55 (1968), 290p.

1770 Karsten Grove: Metric differential geometry. 1582 Hansen, 171-227.

16523 Heinrich Guggenheimer: Differential geometry. Dover 1977, 370p. $11.

2841 V. Guillemin/Shlomo Sternberg: An algebraic model of transitive 
differential geometry. Bull. AMS 70 (1964), 16-47.

5100 Ursula Hamenstaedt: Starrheitseigenschafte kompakter 
Mannigfaltigkeiten negativer Kruemmung. Jber. DMV 95 (1993), 47-59.

1582 Vagn Hansen (ed.): Differential geometry. SLN Math. 1263 (1987).

23926 Sigurdur Helgason: Some remarks on the exponential mapping
for an affine connection. Math. Scand. 9 (1961), 129-146.

2550 Sigurdur Helgason: Differential geometry, Lie groups, and symmetric 
spaces. Academic Press 1978.

Sigurdur Helgason: Geometric analysis on symmetric spaces.
AMS 1994, 610p. 0-8218-1538-5.

15058 Nigel Hitchin: Global differential geometry.
In 15031 Engquist/, 577-591.

W. Hodge: The theory and application of harmonic integrals.
Cambridge UP 1989, 280p (pb). Pds. 13.

1646 Harald Holmann/Hansklaus Rummler: Alternierende Differentialformen.
Bibl. Inst. 1981.

994 Josef Hoschek: Mathematische Grundlagen der Kartographie. Bibl. Inst. 1984.

C. Isham: Modern differential geometry for physicists.
World Scientific 1989, 200p. 9971-50-957-1 (pb). $22.

Thomas Ivey/J. Landsberg: Cartan for beginners - differential geometry via
moving frames and exterior differential systems. AMS 2003, 380p. $59.

17973 Klaus Jänich: Vektoranalysis. Springer 2005, 270p. Eur 20.

Jürgen Jost: Nonlinear methods in Riemannian and Kählerian geometry.
Birkhäuser 1988, 150p. DM 46.

Jürgen Jost: Differentialgeometrie und Minimalflächen.
Springer 1994, 150p. DM 48.
" ... eine schöne geschlossene ... Vorlesung ... " (Peter Michor)

18070 Jürgen Jost: Riemannian geometry and geometric analysis.
Springer 2005, 570p. Eur 47.

27731 Alan Kennington: Differential geometry reconstructed.
Draft available on the author's website - 2019, 2320p.
192 MB - but a very valuable download!

1546 Eberhard Klingbeil: Tensorrechnung fuer Ingenieure.
Bibl. Inst. 1966.

1724 Wilhelm Klingenberg: Riemannian geometry. De Gruyter 1982.

1742 Shoshichi Kobayashi/Kastumi Nomizu: Foundations of differential 
geometry. 2 volumes. Wiley 1963.

29097 Richard Koch: Differential geometry. Lecture notes 2005, 188p.

23919 Ivan Kolar/Peter Michor/Jan Slovak: Natural operations in differential 
geometry. Springer 1993, 430p. A functorial and 
coordinate-free introduction to differential geometry. Not easy to read, 
but well worthwile, says Jeff Ondich.

1451 Erwin Kreyszig: Differentialgeometrie. Leipzig 1957.

23917 Andreas Kriegl: Differentialgeometrie. Internet 2008, 560p.

26407 Andreas Kriegl: Riemannsche Geometrie. Internet 2015, 150p.

26436 Andreas Kriegl: Analysis auf Mannigfaltigkeiten. Internet 2015, 220p.

21926 Wolfgang Kühnel: Differentialgeometrie.
Vieweg+Teubner 2010, 280p. Eur 32.

1299 Serge Lang: Differential manifolds. Springer 1988.

18066 Detlef Laugwitz: Differentialgeometrie. Teubner 1960, 180p.

2290 Dennis Lawrence: A catalog of special plane curves. Dover 1972.

J. Lee: Riemannian manifolds.
Springer 1997, 224p. 3-540-98322-8. DM 59.

Jeffrey Lee: Manifolds and differential geometry. AMS 2009, 670p.

John Lee: Introduction to smooth manifolds.
Springer 2002, 650p. Eur 45.

An-Min Li/Udo Simon/Guosong Zhao: Global affine differential geometry of 
hypersurfaces. De Gruyter 1993. 3-11-012769-5. DM 178.

S. Lovett: Differential geometry of manifolds. Peters 2010, 420p.

6460 Robert MacLachlan: A gallery of constant-negative-curvature surfaces.
Math. Intell. 16/4 (1994), 31-37.

23976 Jerrold Marsden/Tudor Ratiu/Ralph Abraham: Manifolds, tensor analysis
and applications. Springer 2001, 600p.

26398 Eckhard Meinrenken: Differential geometry. Lecture Notes, Internet 2015, 118p.

8195 Peter Michor: Foundations of differential geometry.
Lecture course Univ. Wien 1990/91.

23916 Peter Michor: Topics in differential geometry. AMS 2008, 500p.

S. Montiel/A. Ros: Curves and surfaces. AMS 2005, 380p. $59.
"The book is highly motivating and can be recommended to everyone
interested in euclidean differential geometry, especially in
global questions." (F. Manhart)

22983 Valter Moretti: Tensor analysis on manifolds in mathematical physics
with applications to relativistic theories. Internet, 108p.

22244 Janez Mrcun: On isomorphisms of algebras of smooth functions.
Proc. AMS 133/10 (2005), 3109-3113.

29512 Tristan Needham: Visual differential geometry and forms. Princeton UP 2021, 530p.

K. Nomizu/T. Sasaki: Affine differential geometry. Geometry of affine
immersions. Cambridge UP 1994, 260p. 0-521-44177-3. Pds. 35.

21925 Rainer Oloff: Geometrie der Raumzeit.
Vieweg+Teubner 2010, 240p. Eur 34.

5684 Osmo Pekkonen: The heavenly spheres revisited.
Math. Intell. 15/4 (1993), 22-26.

P. Petersen: Riemannian geometry. Springer 1998, 430p. DM 89.

827 A. Pogorelov: Geometry. MIR 1987.

2628 Walter Poor: Differential geometric structures. McGraw-Hill 1981.

Ian Porteous: Geometric differentiation. Cambridge UP 2001, 330p. Pds. 25.

2740 P. Raschewski: Riemannsche Geometrie und Tensoranalyis.
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J. Ratcliffe: Foundations of hyperbolic manifolds. 
Springer 1994, 750p. 3-540-94249-1. DM 118.

J. Robinson/Joseph Zund: A theorem on geodesic mappings.
Tensor 19 (1968), 365-375.

22319 Edoardo Sernesi: Geometria 2. Bollati Boringhieri 2009, 390p. Eur 28.

R. Sharpe: Differential geometry.
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5112 Allen Shields: Differentiable manifolds: Weyl and Whitney.
Math. Intell. 10/2 (1988), 5-8.

J. Snygg: A new approach to differential geometry using Clifford's geometric algebra.
Birkhäuser 2012, 470p.

102 Karlheinz Spallek: Kurven und Karten. Bibl. Inst. 1980.

21982 Shlomo Sternberg: Lectures on differential geometry.
AMS Chelsea 1999, 440p. Eur 43.

16522 Dirk Struik: Lectures on classical differential geometry. Dover 1988, 230p. $9.

1631 R. Sulantke/P. Wintgen: Differentialgeometrie und Faserbündel.
Birkhäuser 1972.

29109 Giuseppe Tallini: Strutture geometriche. Liguori 1991, 280p.
Topologia generale e varieta' differenziabili.

995 Rudolf Taschner: Differentialgeometrie fuer Geodaeten. Manz 1977.

20548 Adriano Tomassini: Geometrical structures on differentiable
manifolds. Rend. Trieste 27/1-2 (1995), 211-222.

A. Tromba: Teichmueller theory in Riemannian geometry.
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22333 Jose Vargas/Douglas Torr: Of Finsler fiber bundles and the evolution
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E. Vinberg (ed.): Geometry II. Spaces of constant curvature.
Springer 1993, 250p. DM 141. 
Discrete groups of motions of spaces with constant curvature.

18037 Gerard Walschap: Metric structures in differential geometry.
Springer 2004, 230p. Eur 79.

2677 Rolf Walter: Differentialgeometrie. Bibl. Inst. 1978.
The best introduction to moving frames.

2730 Frank Warner: Foundations of differentiable manifolds and Lie groups.
Springer 1983.

884 Brian White: Some recent developments in differential geometry.
Math. Intell. 11/4 (1989), 41-47.

Hassler Whitney: Differentiable manifolds. 
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T. Willmore: Riemannian geometry. 
Oxford UP 1993, 320p. 0-198-53253-9. Pds. 45.

J. Wolf: Spaces of constant curvature. 1972.

Volkmar Wu''nsch: Differentialgeometrie. Teubner 1997, 210p. Eur 19.

4748 Shing-Tung Yau: The current state and prospects fo geometry and 
nonlinear differential equations. 4727 Caacubeta/Castellet, 29-39.

11049 Xiuzi Ye: The Gaussian and mean curvature criteria for curvature
continuity between surfaces. Comp. Aided Geom. Design 13 (1996), 549-567.

Joseph Zund: Tensorial methods in classical differential geometry I-II.
Tensor 47 (1988), 74-82, 83-92.

Joseph Zund: Foundations of differential geodesy.
Springer 1994, 370p. 3-540-58304-1. DM 186.