具有零旗曲率的Landsberg芬斯勒卷积度量  

Landsberg Finsler Warped Product Metrics with Zero Flag Curvature

作　　者：郑大小 Zheng Daxiao(Department of Mathematics and Statistics Science,Anhui Normal University,Anhui Wuhu 241002)

机构地区：[1]安徽师范大学,安徽芜湖241002

出　　处：《数学物理学报（A辑）》2023年第6期1831-1842,共12页Acta Mathematica Scientia

基　　金：安徽省自然科学青年基金(2008085QA05)。

摘　　要：该文研究芬斯勒卷积度量,得到了Landsberg芬斯勒卷积度量的方程刻画,并且完全求解出了方程.在此基础上,构造了一类非Berwald且具有零旗曲率的Landsberg芬斯勒卷积度量.In this paper,we study Finsler warped product metrics.We obtain the differential equations that characterize Landsberg Finsler warped product metrics.By solving these equations,we obtain the expression of these metrics.Furthermore,we construct a class of Finsler warped product metrics F with the following properties:(1) F is a Landsberg metric;(2) F is not a Berwald metric;(3) F has zero flag curvature(or Ricci curvature).

关 键 词：芬斯勒卷积度量 Douglas张量 旗曲率张量 Landsberg曲率 

分 类 号：O184[理学—数学]