This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
K. Iwasaki, H. Kimura, S. Shimomura, M. Yoshida, From Gauss to Painlevé. A Modern Theory of Special Functions, Aspects of Mathematics, E16. Friedr. Vieweg & Sohn, Braunschweig, 1991. H. Kimura, The degeneration of the two-dimensional ...
This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and ...
This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years, first by the late L. M. Woodward and later by John Bolton (and others).
This volume is a companion volume to A Short Course in Differential Geometry and Topology and is based on seminars held at Faculty of Mechanics and Mathematics at Moscow State University.
Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry.
This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theoretic methods in analysis on spaces with a group action.
[Bax82] R. J. Baxter, Exactly solved models in statistical mechanics, Academic Press, Inc. [Harcourt Brace Jovanovich, ... MR3077917 [ChSm11] D. Chelkak and S. Smirnov, Discrete complex analysis on isoradial graphs, Adv. Math.
This volume presents lecture notes of Shing-Tung Yau of Harvard University - based on his extensive recent lecture series in Taiwan and Beijing - on several open problems in differential geometry.
... Nilpotent Structures in Ergodic Theory, 2018 Habib Ammari, Brian Fitzpatrick, Hyeonbae Kang, Matias Ruiz, Sanghyeon Yu, and Hai Zhang, Mathematical and Computational Methods in Photonics and Phononics, 2018 Vladimir I. Bogachev, ...
Handbook of Differential Geometry