Riemannian geometry
By: S. Gallot, D. Hulin, J. Lafontaine.
Contributors: Hulin, D. 1959-; Lafontaine, J. 1944 Mar. 10-
Series: Universitext
Publisher: Springer-Verlag
Published: 1987
Place of publication: Berlin; New York
Language: eng
Format: Hardcover
Number of pages: 248
Subjects: Geometry, Riemannian.
Description: This book, based on a graduate course on Riemannian geometry and analysis on manifolds, held in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. Classical results on the relations between curvature and topology are treated in detail. The book is quite self-contained, assuming of the reader only differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up repeatedly to illustrate each new definition or property introduced.
Notes: Bibliography: p. [241]-244.
Includes index.