Differential Geometry

Differential Geometry КНИГИ » НАУКА И УЧЕБА

Название: Differential Geometry
Автор: Victor V. Prasolov
Издательство: Springer
Год: 2022
Формат: ePUB, PDF
Страниц: 278
Размер: 17 Mb
Язык: English

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.

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