微分形式的Liouville型定理

Liouville Type Theorem for Differential Forms

本文建立了具有有界的负截面曲率的完备单连通黎曼流形上 .其应力能量张量守恒的 L2 -形式的一个消失定理 .从而推广了忻元龙的新近结果 ,给出了

The note contains a vanishing theorem for L\+2\|forms with conservative stress energy tensor on the complete simply connected Riemannian manifolds with the bounded negative sectional curvature. This generalizes a recent result due to Xin and gives a partical answer for Dodziuk′s conjecture.