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.
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.
Differential Geometry
271Differential Geometry
271Paperback(1st ed. 2022)
Product Details
ISBN-13: | 9783030922511 |
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Publisher: | Springer International Publishing |
Publication date: | 02/11/2022 |
Series: | Moscow Lectures , #8 |
Edition description: | 1st ed. 2022 |
Pages: | 271 |
Product dimensions: | 6.10(w) x 9.25(h) x (d) |