书目名称 | Osserman Manifolds in Semi-Riemannian Geometry |
编辑 | Eduardo García-Río,Demir N. Kupeli,Ramón Vázquez-L |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated. |
出版日期 | Book 2002 |
关键词 | Osserman Conjecture; Osserman Semi-Riemannian Manifold; Riemannian geometry; differential geometry; mani |
版次 | 1 |
doi | https://doi.org/10.1007/b83213 |
isbn_softcover | 978-3-540-43144-2 |
isbn_ebook | 978-3-540-45629-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |