| 书目名称 | Transformation Groups in Differential Geometry | | 编辑 | Shoshichi Kobayashi | | 视频video | | | 丛书名称 | Classics in Mathematics | | 图书封面 |  | | 描述 | Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965. | | 出版日期 | Book 1995 | | 关键词 | Lie group; automorphism; differential geometry; transformation group | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-61981-6 | | isbn_softcover | 978-3-540-58659-3 | | isbn_ebook | 978-3-642-61981-6Series ISSN 1431-0821 Series E-ISSN 2512-5257 | | issn_series | 1431-0821 | | copyright | Springer-Verlag Berlin Heidelberg 1995 |
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发表于 2025-3-21 19:57:02
