| 书目名称 | Riemannian Geometry | | 编辑 | Sylvestre Gallot,Dominique Hulin,Jacques Lafontain | | 视频video | | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | In this second edition, the main additions are a section devoted to surfaces with constant negative curvature, and an introduction to conformal geometry. Also, we present a -soft-proof of the Paul Levy-Gromov isoperimetric inequal ity, kindly communicated by G. Besson. Several people helped us to find bugs in the. first edition. They are not responsible for the persisting ones! Among them, we particularly thank Pierre Arnoux and Stefano Marchiafava. We are also indebted to Marc Troyanov for valuable comments and sugges tions. INTRODUCTION This book is an outgrowth of graduate lectures given by two of us in Paris. We assume that the reader has already heard a little about differential manifolds. At some very precise points, we also use the basic vocabulary of representation theory, or some elementary notions about homotopy. Now and then, some remarks and comments use more elaborate theories. Such passages are inserted between *. In most textbooks about Riemannian geometry, the starting point is the local theory of embedded surfaces. Here we begin directly with the so-called "abstract" manifolds. To illustrate our point of view, a series of examples is developed each time a new def | | 出版日期 | Textbook 19902nd edition | | 关键词 | Minimal surface; Riemannian geometry; Riemannian goemetry; covariant derivative; curvature; manifold; rela | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-642-97242-3 | | isbn_ebook | 978-3-642-97242-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 1990 |
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发表于 2025-3-21 18:43:49
