| 书目名称 | Lie Sphere Geometry | | 副标题 | With Applications to | | 编辑 | Thomas E. Cecil | | 视频video | | | 概述 | Provides the reader with all the necessary background to reach the frontiers of research in this area.Fills a gap in the literature; no other thorough examination of Lie sphere geometry and its applic | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This book provides a clear and comprehensive modern treatment of Lie sphere geometry and its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. The link with Euclidean submanifold theory is established via the Legendre map, which provides a powerful framework for the study of submanifolds, especially those characterized by restrictions on their curvature spheres...This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry....Further key features of Lie Sphere Geometry 2/e:..- Provides the reader with all the necessary background to reach the frontiers of research in this area..- Fills a gap in the literature; | | 出版日期 | Book 2008Latest edition | | 关键词 | Dimension; Grad; curvature; differential geometry; manifold; projective geometry | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-387-74656-2 | | isbn_softcover | 978-0-387-74655-5 | | isbn_ebook | 978-0-387-74656-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 16:48:23
