具有常旗曲率的芬斯勒扭曲积度量  

Finsler Warped Product Metrics with Constant Flag Curvature

作　　者：郑大小 ZHENG Daxiao(School of Mathematics and Statistics,Anhui Normal University,Wuhu,Anhui,241000,P.R.China)

机构地区：[1]安徽师范大学数学与统计学院,芜湖安徽241000

出　　处：《数学进展》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)。

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.

关 键 词：芬斯勒扭曲积度量 Douglas度量 旗曲率 射影平坦 

分 类 号：O186.14[理学—数学]