書目名稱 | Handbook of Normal Frames and Coordinates |
編輯 | Bozhidar Z. Iliev |
視頻video | http://file.papertrans.cn/422/421791/421791.mp4 |
概述 | First comprehensive and complete overview on results and methods concerning normal frames and coordinates, including full proofs.Includes new results, methods and ideas.A large number of examples and |
叢書名稱 | Progress in Mathematical Physics |
圖書封面 |  |
描述 | The main subject of this book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in di?erential geometry. The existing results, as well as new ones obtained lately by the author, on the theme are presented. The text is so organized that it can serve equally well as a reference manual, introduction to and review of the current research on the topic. Correspondingly, the possible audience ranges from graduate and post-graduate students to sci- tists working in di?erential geometry and theoretical/mathematical physics. This is re?ected in the bibliography which consists mainly of standard (text)books and journal articles. The present monograph is the ?rst attempt for collecting the known facts concerting normal frames and coordinates into a single publication. For that r- son, the considerations and most of the proofs are given in details. Conventionally local coordinates or frames, which can be holonomic or not, are called normal if in them the coe?cients of a linear connection vanish on some subset, usually a submanifold, of a di?erentiable manifold. Until recently the ex- tence of normal frames was known (proved) only for symmetric linear connection |
出版日期 | Book 2006 |
關(guān)鍵詞 | curvature; differential geometry; fibre bundle; manifold; normal frame; vector bundle |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7643-7619-2 |
isbn_ebook | 978-3-7643-7619-2Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
issn_series | 1544-9998 |
copyright | Birkh?user Basel 2006 |