Quaternionic Khler流形上的消灭定理

A vanishing theorem on Quaternionic Khler maniolds

研究完备非紧的Quaternionic Khler流形且满足权Poincare′不等式。在权函数作为Ricci曲率下界时,给出了Quaternionic Khler流形的消灭定理。推广了Lam在完备非紧的quaternionic Khler流形上的结果。

Discussing complete noncompact quatemionic Kahler manifolds with weighted Poincare＇ inequality, and obtaining a vanishing theorem if Ricci curvature has low bound which is related with weighted function, this generalizes Lam＇ s result in the case of complete noncompact quatemionic Kahler manifolds.