Formulas of Gauss-Ostrogradskii Type on Real Finsler Manifolds |
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| Authors: | Li Zhiwei Zhong Chunping |
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| Institution: | [1]Department of Mathematics, Quanzhou Normal University, Quanzhou 362000, China [2]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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| Abstract: | This article generalizes the formulas of Gauss-Ostrogradskii type for semibasic vector fields from Riemannian manifolds to real Finsler manifolds and obtains some for- mulas 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. |
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| Keywords: | Finsler manifold Finsler vector fields integral formula |
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