Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (4): 420-425.

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Laplace Operator in Finsler Geometry

 YAN Rong-Mu   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    国家自然科学基金与国家数学天元基金(青年)资助

Abstract:

In this article, the author defines an inner product of differential form in Finsler manifold, which helps him lead to δoperator and Laplace operator. The author proves that Laplace operator can be regarded here asan extension of that in Riemann manifold. Furthermore, the author gives local coordinate expression of δoperator.

Key words: Finsler manifold, Cartan connection, Laplace operator.

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