| 书目名称 | Topics in Extrinsic Geometry of Codimension-One Foliations |
| 编辑 | Vladimir Rovenski,Paweł Walczak |
| 视频video | |
| 概述 | New topic of ‘foliation with a time-dependent metric‘ is developed.Presents new research tools in geometry of foliations (Extrinsic Geometric Flow).Presents examples and open problems for foliated sur |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of .Topics in Extrinsic Geometry of Codimension-One. .Foliations. achieve a technical tour de force, which will lead to important geometric results. . The .Integral Formulae., introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones. For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator.. .The central topic of this book is .Extrinsic Geometric Flow .(EGF) on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. To develop EGF, one needs .Variational Formulae., revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of |
| 出版日期 | Book 2011 |
| 关键词 | foliation of codimension one; geometric flow; integral formula; mean curvatures; variation formula; parti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4419-9908-5 |
| isbn_softcover | 978-1-4419-9907-8 |
| isbn_ebook | 978-1-4419-9908-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Vladimir Rovenski, Paweł Walczak 2011 |
发表于 2025-3-21 16:30:53
