向量丛值的p-形式的Liouville型定理

Liouville Type Theorem for p-Forms Valued on Vector Bundle

在此建立了具有有界的负截面曲率的完备单连通黎曼流形上p-形式的F-应力能量张量,并将F-调和映射的Liouville型定理推广到F-应力能量张量满足守恒律的向量丛值p-形式的一般情形,从而得到这类p-形式的一些消没定理.

This paper gives a definition of F- stress-energy tensor with p-forms on the complete simply connected Riemannian mainfolds with the bounded negative sectional curvature, and extends F-harmonic maps＇ Liouville type theorem to the general case of F- stress-energy tensor with p-form on vector bundle satisfying the law of conservation. The vanishing theorem for p-forms has been proved.