数学物理学报(英文版)

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FORMULAS OF GAUSS-OSTROGRADSKII TYPE ON REAL FINSLER MANIFOLDS

李志伟; 钟春平   

  1. 厦门大学数学学院, 厦门 361005
  • 收稿日期:2006-06-18 修回日期:2006-12-25 出版日期:2008-04-20 发布日期:2008-04-20
  • 通讯作者: 钟春平
  • 基金资助:

    The second author is sponsored by 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)
    and China Postdoctoral Science Foundation (2005038639)

FORMULAS OF GAUSS-OSTROGRADSKII TYPE ON REAL FINSLER MANIFOLDS

Li Zhiwei; Zhong Chunping   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2006-06-18 Revised:2006-12-25 Online:2008-04-20 Published:2008-04-20
  • Contact: Zhong Chunping

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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.

关键词: Finsler manifold, Finsler vector fields, integral formula

Abstract:

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

中图分类号: 

  • 32C25
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