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Titlebook: Handbook of Normal Frames and Coordinates; Bozhidar Z. Iliev Book 2006 Birkhäuser Basel 2006 curvature.differential geometry.fibre bundle.

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书目名称Handbook of Normal Frames and Coordinates
编辑Bozhidar Z. Iliev
视频video
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
丛书名称Progress in Mathematical Physics
图书封面Titlebook: Handbook of Normal Frames and Coordinates;  Bozhidar Z. Iliev Book 2006 Birkhäuser Basel 2006 curvature.differential geometry.fibre bundle.
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
关键词curvature; differential geometry; fibre bundle; manifold; normal frame; vector bundle
版次1
doihttps://doi.org/10.1007/978-3-7643-7619-2
isbn_ebook978-3-7643-7619-2Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightBirkhäuser Basel 2006
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Manifolds, Normal Frames and Riemannian Coordinates,ay) exit, but normal coordinates do not. If normal frames exist, they are parallel and are connected with linear transformations whose matrices are constant under the action of their basic vector fields..The Riemannian and geodesic coordinates, which are normal at their origins, were pointed out as first examples of normal coordinates.
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https://doi.org/10.1007/978-3-7643-7619-2curvature; differential geometry; fibre bundle; manifold; normal frame; vector bundle
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. Das Strömungsfeld wird über ein Schlierenverfahren sichtbar gemacht und in Einzelaufnahmen mit Funkenlichtquelle festgehalten. Quantitative Messungen der Stoßbeugung werden mit einem »Differential«-Interferometer durchgeführt.
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Progress in Mathematical Physicshttp://image.papertrans.cn/h/image/421791.jpg
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