关键词: Finsler流形, Cartan联络, Laplace算子

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.