The geometry of spherically symmetric Finsler manifolds
Guo, Enli, Mo, Xiaohuan
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.--
Abstract: 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.
Abstract: 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.
Категории:
Година:
2018
Издателство:
Springer
Език:
english
Страници:
154
ISBN 10:
981131599X
ISBN 13:
9789811315992
Серия:
SpringerBriefs in mathematics
Файл:
PDF, 1.01 MB
IPFS:
,
english, 2018
Изтеглянето на тази книга не е възможно поради жалба от притежателя на авторските права