摘要
构造了Finsler流形上微分式的整体内积、δ算子和Hodge-Laplace算子.计算出δ算子的局部表达式,并指出构造的Hodge-Laplace算子在Riemann情形下退化成经典的形式.
This paper gives a construction of the inner product of differential form on Finsler manifold,which leads to δ-operator and Hodge-Laplace operator.It also gives the local coordinate form of the δ-operator.Then it shows that Hodge-Laplace operator here reduces to the classical form when the manifold is Riemannian.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第6期32-35,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
西南大学发展基金资助项目(SWNUF2005011)
