关于第二典型联络的Laplace算子

On the Laplacian operator of the second canonical connection

讨论近Hermite流形上第二典型联络的Laplace算子,得到它与几何上通常Laplace算子之间相差一个挠向量场.特别地,得到semi-Khler流形上第二典型联络的Laplace算子与通常Laplace算子是相同的.这推广了WEINKOVE等人在quasi-Khler流形上的这两类算子相等的结果.

This paper discusses the Laplacian operator of the second canonical connection on almost Hermitian manifolds and gives the relation with usual the Laplacian operator in geometry. In particular, it is obtained that they are equal on semi-Ktthler manifolds. This generalizes the result of WEINKOVE and the others on quasi-Kahler manifolds.