吉林大学学报(理学版)2011,Vol.49Issue(6):997-1000,4.
Finsler流形间调和映射的拓扑性质
Some Topology Properties of Harmonic Map in Finsler Manifolds
摘要
Abstract
With the help of the Chern connection in Finsler manifolds, we analyzed the convexity of distance function in a Finsler manifold, then discussed harmonic maps between two Finsler manifolds in the point of view of the topology, and obtained a nonexistence theorem about non-trivial harmonic maps from a Finsler manifold with the limited fundamental group to non-focus Finsler manifold, and studied some problems on homotopy class of mapping and got a simple existence theorem.关键词
Finsler流形/Jacobi场/调和映射/焦点Key words
Finsler manifold/ Jacobi field/ harmonic maps/ focal point分类
数理科学引用本文复制引用
朱业成,宋卫东..Finsler流形间调和映射的拓扑性质[J].吉林大学学报(理学版),2011,49(6):997-1000,4.基金项目
安徽省自然科学研究重点项目(批准号:KJ2008A05ZC)和安徽工业大学青年科研基金(批准号:QZ200918). (批准号:KJ2008A05ZC)