ENGLISH

Lectures on Differential Geometry

By Shlomo Sternberg

Book information

Publisher
Prentice-Hall
Year
1964
ISBN
0828403163, 9780828403160
Language
english
Format
PDF
Filesize
17 MB (17666806 bytes)
Series
Prentice-Hall Mathematical Series
Pages
\424
Library
Internet Archive
Time added
2022-12-28 08:22:56
Differential Geometry

Description

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. I. Algebraic Preliminaries II. Differentiable Manifolds III. Integral Calculus on Manifolds IV. The Calculus of Variations V. Lie Groups VI. Differential Geometry of Euclidian Space VII. The Geometry of G-Structures

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