摘要
研究完备非紧的Quaternionic Khler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 Khler流形的消灭定理。推广了Lam在完备非紧的quaternionic Khler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.
出处
《阜阳师范学院学报(自然科学版)》
2011年第2期1-3,共3页
Journal of Fuyang Normal University(Natural Science)
基金
国家自然科学基金数学天元基金(11026116)
扬州大学创新培育基金(2010CXJ001)资助