Acta mathematica scientia, Series B >
FORMULAS OF GAUSS-OSTROGRADSKII TYPE ON REAL FINSLER MANIFOLDS
Received date: 2006-06-18
Revised date: 2006-12-25
Online published: 2008-04-20
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.
Key words： Finsler manifold; Finsler vector fields; integral formula
Li Zhiwei , Zhong Chunping . FORMULAS OF GAUSS-OSTROGRADSKII TYPE ON REAL FINSLER MANIFOLDS[J]. Acta mathematica scientia, Series B, 2008 , 28(2) : 383 -392 . DOI: 10.1016/S0252-9602(08)60040-5
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