关于Ricci曲率有下界的完备黎曼流形上的函数估计  

On the Function Estimate on Complete Riemannian Manifolds with Ricci Curvature Bounded from Below

作　　者：苏效乐[1] 孙宏伟 王雨生[1] Xiaole Su;Hongwei Sun;Yusheng Wang(Laboratory of Mathematics and Complex Systems of Ministry of Education,School of Mathematical Science,Beijing Normal University,Beijing;School of Mathematical Science,Capital Normal University,Beijing)

机构地区：[1]北京师范大学数学科学学院,北京 [2]首都师范大学数学科学学院,北京

出　　处：《理论数学》2012年第4期268-275,共8页Pure Mathematics

基　　金：国家自然科学基金资助项目(11001015,11171025,10801011)。

摘　　要：U. Abresch和D. Gromoll给出了一个关于Ricci曲率有下界的完备黎曼流形上函数估计的重要定理[1],本文利用更为精细的论述证明了将这个定理中的一个关键条件变弱后,定理的结论依然成立。U. Abresch and D. Gromoll found a theorem on the function estimate on complete Riemannian manifolds with Ricci curvature bounded from below[1]. In this paper, it is proved that the conclusion of the theorem still holds when a crucial condition of the theorem is weakened.

关 键 词：RICCI曲率 函数估计 Laplace比较定理 

分 类 号：O1[理学—数学]