书目名称 | The Geometry of Spherically Symmetric Finsler Manifolds | 编辑 | Enli Guo,Xiaohuan Mo | 视频video | | 概述 | Provides broader examples of Finsler metrics with nice curvature properties.Establishes a lot of beautiful classification theorems.Presents PDE method to study Riemann-Finsler geometry | 丛书名称 | SpringerBriefs in Mathematics | 图书封面 |  | 描述 | .This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics..Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.. | 出版日期 | Book 2018 | 关键词 | Spherically Symmetric Finsler Metrics; Berwald; flat; Scalar Curvature; Constant Curvature; W-quadratic | 版次 | 1 | doi | https://doi.org/10.1007/978-981-13-1598-5 | isbn_softcover | 978-981-13-1597-8 | isbn_ebook | 978-981-13-1598-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 | issn_series | 2191-8198 | copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd., part of Springer Natur |
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