| 书目名称 | Riemannian Geometry of Contact and Symplectic Manifolds | | 编辑 | David E. Blair | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | The author‘s lectures, "Contact Manifolds in Riemannian Geometry," volume 509 (1976), in the Springer-Verlag Lecture Notes in Mathematics series have been out of print for some time and it seems appropriate that an expanded version of this material should become available. The present text deals with the Riemannian geometry of both symplectic and contact manifolds, although the book is more contact than symplectic. This work is based on the recent research of the author, his students, colleagues, and other scholars, the author‘s graduate courses at Michigan State University and the earlier lecture notes. Chapter 1 presents the general theory of symplectic manifolds. Principal circle bundles are then discussed in Chapter 2 as a prelude to the Boothby Wang fibration of a compact regular contact manifold in Chapter 3, which deals with the general theory of contact manifolds. Chapter 4 focuses on Rie mannian metrics associated to symplectic and contact structures. Chapter 5 is devoted to integral submanifolds of the contact subbundle. In Chapter 6 we discuss the normality of almost contact structures, Sasakian manifolds, K contact manifolds, the relation of contact metric structures | | 出版日期 | Book 20021st edition | | 关键词 | Differential Geometry; Differential Topology; Manifolds; Riemannian geometry; curvature; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-3604-5 | | isbn_ebook | 978-1-4757-3604-5Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Science+Business Media New York 2002 |
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发表于 2025-3-21 19:04:20
