书目名称 | Metric Foliations and Curvature |
编辑 | Detlef Gromoll,Gerard Walschap |
视频video | |
概述 | Studies the main tool that is used for creating spaces of positive or nonnegative curvature.As yet, there is no comprehensive survey of this topic.Includes supplementary material: |
丛书名称 | Progress in Mathematics |
图书封面 |  |
描述 | .In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a representative handful by means of metric fibrations or deformations thereof...This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.. |
出版日期 | Book 2009 |
关键词 | Riemannian manifold; curvature; differential geometry; foliation; manifold; space form |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7643-8715-0 |
isbn_ebook | 978-3-7643-8715-0Series ISSN 0743-1643 Series E-ISSN 2296-505X |
issn_series | 0743-1643 |
copyright | Birkhäuser Basel 2009 |