Differential Geometry (Paperback, 1st ed. 2022)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Moscow Lectures, 8
Release date:	February 2023
First published:	2022
Authors:	Victor V. Prasolov
Translators:	Olga Sipacheva
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	271
Edition:	1st ed. 2022
ISBN-13:	978-3-03-092251-1
Subtitles:	Russian
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-03-092251-0
Barcode:	9783030922511

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