FORMULAS OF GAUSS-OSTROGRADSKII TYPE ON REAL FINSLER MANIFOLDS  

作　　者：李志伟 钟春平 

机构地区：[1]Department of Mathematics Quanzhou Normal University [2]School of Mathematical Sciences Xiamen University

出　　处：《Acta Mathematica Scientia》2008年第2期383-392,共10页数学物理学报（B辑英文版）

基　　金：Program for New Century Excellent Talents in Fujian Province University;the Natural Science Foundation of China(10601040,10571144);the Tian Yuan Foundation of China(10526033);China Postdoctoral Science Foundation(2005038639)

摘　　要：This article generalizes the formulas of Gauss-Ostrogradskii type for semibasic vector fields from Riemannian manifolds to real Finsler manifolds and obtains some formulas of Gauss-Ostrogradskii type for Finsler vector fields which are expressed in terms of the vertical and horizontal derivatives of the Cartan connection in real Finsler manifolds.This article generalizes the formulas of Gauss-Ostrogradskii type for semibasic vector fields from Riemannian manifolds to real Finsler manifolds and obtains some formulas of Gauss-Ostrogradskii type for Finsler vector fields which are expressed in terms of the vertical and horizontal derivatives of the Cartan connection in real Finsler manifolds.

关 键 词：Finsler manifold Finsler vector fields integral formula 

分 类 号：O186.12[理学—数学]