| 书目名称 | Spherical Tube Hypersurfaces |
| 编辑 | Alexander Isaev |
| 视频video | |
| 概述 | This is a research monograph which is quite unique in a number of ways.However, it is hard to state the main features of the book briefly for non-experts.As a result, I am afraid I cannot come up with |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | We consider Levi non-degenerate tube hypersurfaces in complex linear space which are "spherical", that is, locally CR-equivalent to the real hyperquadric. Spherical hypersurfaces are characterized by the condition of the vanishing of the CR-curvature form, so such hypersurfaces are flat from the CR-geometric viewpoint. On the other hand, such hypersurfaces are of interest from the point of view of affine geometry. Thus our treatment of spherical tube hypersurfaces in this book is two-fold: CR-geometric and affine-geometric. Spherical tube hypersurfaces turn out to possess remarkable properties. For example, every such hypersurface is real-analytic and extends to a closed real-analytic spherical tube hypersurface in complex space. One of our main goals is to give an explicit affine classification of closed spherical tube hypersurfaces whenever possible. In this book we offer a comprehensive exposition of the theory of spherical tube hypersurfaces starting with the idea proposed in the pioneering work by P. Yang (1982) and ending with the new approach due to G. Fels and W. Kaup (2009). |
| 出版日期 | Book 2011 |
| 关键词 | 32-XX; CR-geometry; affine homogeneity; spherical hypersurfaces; tube hypersurfaces |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-19783-3 |
| isbn_softcover | 978-3-642-19782-6 |
| isbn_ebook | 978-3-642-19783-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 16:45:32
