中文摘要：

本文研究了Finsler流形上距离函数的Laplacian.利用Schwarz不等式和[5]中主要方法,获得了具有负曲率的Laplacian比较定理,进而得到了Finsler流形上第一特征值的下界估计.

英文摘要：

In this article,we study the Laplacian of distance function.By using Schwarz inequality and the key methods of[5],we obtain Laplacian comparison theorem in Finsler manifold of negative curvature.As its applications,one can get the lower bound estimates for the first eigenvalue in Finsler spaces.