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The Geometry of Spherically Symmetric Finsler Manifolds - Enli Guo, Xiaohuan Mo

The Geometry of Spherically Symmetric Finsler Manifolds

, (Autoren)

Buch | Softcover
154 Seiten
2018 | 1st ed. 2018
Springer Verlag, Singapore
978-981-13-1597-8 (ISBN)
CHF 89,85 inkl. MwSt
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 PDE technique.
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.

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. 

Erscheinungsdatum
Reihe/Serie SpringerBriefs in Mathematics
Zusatzinfo 6 Illustrations, black and white; XIII, 154 p. 6 illus.
Verlagsort Singapore
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 981-13-1597-3 / 9811315973
ISBN-13 978-981-13-1597-8 / 9789811315978
Zustand Neuware
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