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Hans Publishers, Pure Mathematics, 04(02), p. 268-275

DOI: 10.4236/pm.2012.24041

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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

Journal article published in 2012 by 王雨生, 孙宏伟, 苏效乐, 苏. 效乐
This paper is available in a repository.
This paper is available in a repository.

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Red circle
Preprint: archiving forbidden
Red circle
Postprint: archiving forbidden
Red circle
Published version: archiving forbidden
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Abstract

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.