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题名/责任者:

The geometry of spherically symmetric Finsler manifolds / Enli Guo, Xiaohuan Mo.

出版发行项:

Singapore : Springer, 2018.

ISBN:

978981131597 :

载体形态项:

xiii, 154 pages : illustrations ; 24 cm.

丛编说明:

SpringerBriefs in mathematics, 2191-8198

丛编统一题名:

SpringerBriefs in mathematics,

个人责任者:

Guo, Enli, author.

附加个人名称:

Mo, Xiaohuan, author.

论题主题:

Finsler spaces.

中图法分类号:

O186

书目附注:

Includes bibliographical references and index.

内容附注:

Spherically symmetric Finsler metrics -- Dually flat spherically symmetric metrics -- Spherically symmetric Douglas metrics -- Projectively flat spherically symmetric metrics -- Spherically symmetric metrics of scalar curvature -- Spherically symmetric metrics of constant flag curvature -- Spherically symmetric w-quadratic metrics.

摘要附注:

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.--

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