摘要
常(或数量)旗曲率芬斯勒度量的研究是芬斯勒几何中的基本问题之一·本文构造具有以下性质的若干芬斯勒扭曲积度量F:(a)F具有常(或数量)旗曲率;(b)F非局部射影平坦;(c)F非Randers型.
One of the fundamental problems in Finsler geometry is to study Finsler metrics of constant(or scalar)flag curvature.In this paper,we will construct some Finsler warped product metrics F with the following properties:(a)F has constant(or scalar)flag curvature;(b)F is not locally projectively flat;(c)F is not of Randers type.
作者
郑大小
ZHENG Daxiao(School of Mathematics and Statistics,Anhui Normal University,Wuhu,Anhui,241000,P.R.China)
出处
《数学进展》
CSCD
北大核心
2022年第6期1093-1102,共10页
Advances in Mathematics(China)
基金
Supported by Natural Science Foundation of Anhui Province(No.2008085QA05)。