On a class of two-dimensional Finsler manifolds of isotropic S-curvature  

作　　者：Xinyue Cheng Zhongmin Shen Guojun Yang 

机构地区：[1]School of Mathematics and Statistics, Chongqing University of Technology [2]Department of Mathematical Sciences, Indiana University-Purdue University [3]Department of Mathematics, Sichuan University

出　　处：《Science China Mathematics》2018年第1期57-72,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11371386 and 11471226);the European Union’s Seventh Framework Programme(FP7/2007-2013)(Grant No.317721)

摘　　要：For an(α, β)-metric(non-Randers type) of isotropic S-curvature on an n-dimensional manifold with non-constant norm ‖β‖α, we first show that n = 2, and then we characterize such a class of two-dimensional(α, β)-manifolds with some PDEs, and also construct some examples for such a class.For an（α, β）-metric（non-Randers type） of isotropic S-curvature on an n-dimensional manifold with non-constant norm ‖β‖α, we first show that n = 2, and then we characterize such a class of two-dimensional（α, β）-manifolds with some PDEs, and also construct some examples for such a class.

关 键 词：(α β)-metric Randers metric S-CURVATURE 

分 类 号：N0[自然科学总论—科学技术哲学]