<電子ブック>
Differential Geometry / by Victor V. Prasolov
(Moscow Lectures. ISSN:25220322 ; 8)
版 | 1st ed. 2022. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2022 |
大きさ | XI, 271 p. 1 illus : online resource |
著者標目 | *Prasolov, Victor V author SpringerLink (Online service) |
件 名 | LCSH:Geometry, Differential FREE:Differential Geometry |
一般注記 | Curves in the Plane -- Curves in Space -- Surfaces in Space -- Hypersurfaces in Rn+1 -- Connections -- Riemannian Manifolds -- Lie Groups -- Comparison Theorems -- Curvature and Topology -- Laplacian -- Appendix -- Bibliography -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-030-92249-8 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030922498 |
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電子リソース |
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EB00201260 |
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