Remarks on complete noncompact Einstein warped products

被引：0
|
作者：
Batista, R. [1 ]
Ranieri, M. [2 ]
Ribeiro, E., Jr. [3 ]
机构：
[1] Univ Fed Piaui UFPI, Dept Matemat, Campus Petronio Portella, BR-64049550 Teresina, PI, Brazil
[2] Univ Fed Alagoas UFAL, Inst Matemat, BR-57072970 Maceio, AL, Brazil
[3] Univ Fed Ceara UFC, Dept Matemat, Campus Pici,Av Humberto Monte,Bloco 914, BR-60455760 Fortaleza, CE, Brazil
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2020年 / 28卷 / 03期
关键词：
SPLITTING THEOREM; MANIFOLDS; METRICS; SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this article is to investigate the structure of complete non-compact quasi-Einstein manifolds. We show that complete noncompact quasi-Einstein manifolds with lambda = 0 are connected at infinity. In addition, we provide some conditions under which quasi-Einstein manifolds with lambda < 0 are f-non-parabolic. In particular, we obtain estimates on volume growth of geodesic balls for such manifolds.
引用
收藏
页码：547 / 563
页数：17
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