文献类型：期刊文献

英文题名：Some formulas of Santalo type in Finsler geometry and its applications

作者：Lixia, Yuan[1];Zhao, Wei[2]

机构：[1]Fudan Univ, Dept Math, Shanghai 200433, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2015

卷号：87

期号：1-2

起止页码：79

外文期刊名：PUBLICATIONES MATHEMATICAE-DEBRECEN

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000366464000006)】；

基金：The first author is supported by the Postdoctoral Science Foundation of China (No. 2014M561404). The second author is supported by National Natural Science Foundation of China, Tian Yuan Foundation (No. 11426108) and the Fundamental Research Funds for the Central Universities.

语种：英文

外文关键词：Finsler manifold; Santalo's formula; Croke's isoperimetric inequality; the first eigenvalue; finiteness theorem

摘要：In this paper, we establish two Santalo type formulas for general Finsler manifolds. As applications, we derive a universal lower bound for the first eigenvalue of the nonlinear Laplacian, two Croke type isoperimetric inequalities, and a Yamaguch type finiteness theorem in Finser geometry.