Some compactness results by elliptic operators

被引：0

作者：

Azami, Shahroud ^{[1
]}

Fatemi, Seyed Hamed ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran

来源：

COGENT MATHEMATICS & STATISTICS | 2021年 / 7卷

关键词：

Bochner technique; Myers'theorem; THEOREM; GEOMETRY; MYERS;

D O I：

10.1080/25742558.2020.1857577

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we get two compactness results for complete manifolds by applying a (sub-) elliptic second-order differential operator on distance functions. The first is an extension of a theorem of Galloway and gets an upper estimate for the diameter of the manifold and the second is an extension of a theorem of Ambrose.

引用

页数：15

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