
The Geometry of Spherically Symmetric Finsler Manifolds
Springer (Publisher)
1st Edition
Published on 11. October 2018
Book
Paperback/Softback
168 pages
978-981-13-1597-8 (ISBN)
Description
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.
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.
Reviews / Votes
"The exposition is very comprehensive for the reader and this certainly should become a good reference book for beginners in Finsler geometry." (Libing Huang, Mathematical Reviews, August, 2019)More details
Product info
Paperback
Series
Edition
1st ed. 2018
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
6 s/w Abbildungen
6 Illustrations, black and white; XIII, 154 p. 6 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
265 gr
ISBN-13
978-981-13-1597-8 (9789811315978)
DOI
10.1007/978-981-13-1598-5
Schweitzer Classification
Other editions
Additional editions

Enli Guo | Xiaohuan Mo
The Geometry of Spherically Symmetric Finsler Manifolds
E-Book
09/2018
1st Edition
Springer
€64.19
Available for download
Content
Chapter 1. Spherically Symmetric Finsler Metrics.- Chapter 2. Dually Flat Spherically Symmetric Metrics.- Chapter 3. Spherically Symmetric Metrics of Isotropic Berwald Curvature.- Chapter 4. Spherically Symmetric Douglas Metrics.- Chapter 5. Projectively Flat Spherically Symmetric Metrics.- Chapter 6. Spherically Symmetric Metrics of Scalar Curvature.- Chapter 7. Spherically Symmetric Metrics of Constant Flag Curvature.- Chapter 8. Spherically Symmetric W-quadratic Metrics.