Hermite流形上的δ张量

On the δ-tensor Form of Hermite Manifolds

在Hermite流形上引入一个δ张量,指出其与Kahler形式的内在联系,应用于研究Kahler流形上保角向量场和Riemann联络的关系.并给出Kahler流形判定定理的内蕴证明.

In this paper, a tensor form δ for a Hermitian manifold is introduced, its intrinsic relation-ship with the Kaehler form is discussed.The conformal vector fields on Kaehler manifolds are investigated,an intrinsic proof of the criterion for Kaeihler manifolds is given.