书目名称 | Semiparallel Submanifolds in Space Forms | 编辑 | Ülo Lumiste | 视频video | | 概述 | Author has published more than 40 papers in the field, so readers are assured of an authoritative treatment.Covers both necessary background and cutting edge research in the field.Goes beyond common e | 图书封面 |  | 描述 | .This book offers a comprehensive survey to date of the theory of semiparallel submanifolds. Introduced in 1985, semiparallel submanifolds have emerged as an important area of research within differential geometry and topology...The author begins with the necessary background on symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. Semiparallel submanifolds are introduced in Chapter 4, where characterizations of their class and several subclasses are given. In later chapters Lumiste introduces the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. Generalizations, such as k-semiparallel submanifolds and Ric-semiparallel hypersurfaces, are also studied...Semiparallel Submanifolds in Space Forms will appeal to both researchers and graduate students.. | 出版日期 | Book 2009 | 关键词 | Riemannian manifolds; differential geometry; hypersurfaces; manifold; topology | 版次 | 1 | doi | https://doi.org/10.1007/978-0-387-49913-0 | isbn_softcover | 978-1-4419-2389-9 | isbn_ebook | 978-0-387-49913-0 | copyright | Springer-Verlag New York 2009 |
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