| 书目名称 | Extrinsic Geometry of Foliations |
| 编辑 | Vladimir Rovenski,Paweł Walczak |
| 视频video | |
| 概述 | Problems of prescribing the extrinsic geometry and curvature of foliations are central to the book.Presents the state of the art in geometric and analytical theory of foliations.Designed for newcomers |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and variation formulas and curvature and dynamics of foliations. Different approaches and methods (local and global, regular and singular) in solving the problems are described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian and metric-affine geometries, and ‘computable‘ Finsler metrics..The book presents the state of the art in geometric and analytical theory of foliations as a continuation of the authors‘ life-long work in extrinsic geometry. It is designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications. It may also be a useful supplement to |
| 出版日期 | Book 2021 |
| 关键词 | foliations; extrinsic geometry; Ricci flow; curvature; integral formulas; variation formulas; mean curvatu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-70067-6 |
| isbn_softcover | 978-3-030-70069-0 |
| isbn_ebook | 978-3-030-70067-6Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 18:15:20
