数学杂志2005，Vol.25Issue(5)：473-479,7.
芬斯勒射影几何中的Ricci曲率
THE RICCI CURVATURE IN FINSLER PROJECTIVE GEOMETRY
摘要
Abstract
In this paper we first study the Finsler projective change which preserves the Ricci curvature. Furthermore,given a compact and boundaryless n-dimensional differentiable manifold M,we show that any pointwise C-projective change from a Berwald space (M,) to a Riemann space (M,F) is trivial if the trace of the Ricci curvature Ric of with respect to F is less or equal to the scalar curvature of F.关键词
Finsler度量/测地线/射影变换/Ricci曲率/标量曲率Key words
Finsler metric/geodesic/projective change/Ricci curvature/scalar curvature分类
数理科学引用本文复制引用
杨文茂,程新跃..芬斯勒射影几何中的Ricci曲率[J].数学杂志,2005,25(5):473-479,7.基金项目
Supported by the National Natural Science Fundation of China(10371138) （10371138）
the Science Foundation of Chongqing Education Committee （）
