具有弱迷向S曲率的卷积芬斯勒度量

Finsler Warped Product Metrics with Weakly Isotropic S Curvature

本文利用张量分析的方法和偏微分方程的理论研究了具有弱迷向S曲率的卷积芬斯勒度量,得到其刻画方程.在此基础上得到了一系列具有消失S曲率的Douglas型卷积芬斯勒度量.

In this paper,by using tensor analysis and theories of PDEs,we study the Finsler warped product metric with weakly isotropic S curvature,and obtain the characterized equations.Furthermore,we construct a series of the Finsler warped product metrics of Douglas type with vanishing S curvature.