Differential Geometry (Moscow Lectures) - Softcover

Prasolov, Victor V.

 
9783030922511: Differential Geometry (Moscow Lectures)
Softcover
ISBN 10: 3030922510 ISBN 13: 9783030922511
Publisher: Springer, 2023

Synopsis

This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.

The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.


"synopsis" may belong to another edition of this title.

About the Author

Victor Prasolov, born 1956, is a permanent teacher of mathematics at the Independent University of Moscow. He published two books with Springer, Polynomials and Algebraic Curves. Towards Moduli Spaces (jointly with M. E. Kazaryan and S. K. Lando) and eight books with AMS, including Problems and Theorems in Linear Algebra, Intuitive Topology, Knots, Links, Braids, and 3-Manifolds (jointly with A. B. Sossinsky), and Elliptic Functions and Elliptic Integrals (jointly with Yu. Solovyev).


From the Back Cover

This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.

The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.


"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2023
Language
English
ISBN 10 
3030922510
ISBN 13 
9783030922511
Binding
Paperback
Edition number
1
Number of pages
284

Other Popular Editions of the Same Title

9783030922481: Differential Geometry (Moscow Lectures, 8)

Featured Edition

ISBN 10:  3030922480 ISBN 13:  9783030922481
Publisher: Springer, 2022
Hardcover