文摘
英文文摘
声明
Chapter 1 Introduction
Chapter 2 Preliminaries
2.1 Basic facts in Finsler geometry
2.2 Invariant Finsler metric on homogeneous space
Chapter 3 Invariant (α,β)-metrics on homogeneous Finsler spaces
3.1 Construction of invariant (α,β)-metrics on homogeneous spaces
3.2 Invariant Randers metrics and Douglas metrics on homogeneous spaces
3.3 A rigidity theorem
3.4 Some Special Invariant (α,β)-metrics on Reductive Homogeneous spaces
Chapter 4 Affine weakly symmetric spaces
4.1 Some definitions
4.2 Weakly Symmetric Pairs
4.3 Some examples of affine weakly symmetric spaces which are not Riemannian
Chapter 5 Weakly symmetric Finsler manifolds
5.1 Definition and geometry property
5.2 Basic properties
Chapter 6 Classification of weakly symmetric Finsler spaces
6.1 Classification of weakly symmetric manifolds
6.2 Classification of weakly symmetric Finsler manifolds
Bibliography
Acnowledgements
个人简历
南开大学;