论文标题
具有加权庞加莱不平等的完整歧管的刚性
Rigidity of complete manifolds with weighted Poincaré inequality
论文作者
论文摘要
我们考虑完整的Riemannian流形，可以满足加权的不平等现象，并在下面的重量函数方面具有下面的RICCI曲率。当重量函数在无穷大时具有非零极限时，研究了无穷大的歧管的结构，并获得了某些分裂结果。我们的结果可以看作是在\ cite {lw3}中对li-wang的结果的改进。
We consider complete Riemannian manifolds which satisfy a weighted Poincarè inequality and have the Ricci curvature bounded below in terms of the weight function. When the weight function has a non-zero limit at infinity, the structure of this class of manifolds at infinity are studied and certain splitting result is obtained. Our result can be viewed as an improvement of Li-Wang's result in \cite{LW3}.
