The Geometry of Spherically Symmetric Finsler Manifolds

ISBN-13: 9789811315978 / Angielski / Miękka / 2018 / 154 str.

Enli Guo; Xiaohuan Mo

Opis

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. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using Ptechnique.

Recenzje

"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)

Spis treści

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.