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A note on compactness theorems for the Bakry-emery Ricci tensor and generalized quasi-Einstein tensors

Authors
Lee, Sanghun
Issue Date
Oct-2021
Publisher
SPRINGER BASEL AG
Keywords
Myers theorem; Bakry-emery Ricci tensor; Generalized quasi-Einstein tensor; Mean curvature comparison; Diameter estimate
Citation
ARCHIV DER MATHEMATIK, v.117, no.4, pp 469 - 480
Pages
12
Journal Title
ARCHIV DER MATHEMATIK
Volume
117
Number
4
Start Page
469
End Page
480
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/62172
DOI
10.1007/s00013-021-01620-1
ISSN
0003-889X
1420-8938
Abstract
In this paper, we extend compactness theorems of Cheeger, Gromov, Taylor, and Sprouse to the Bakry-emery Ricci tensor and generalized quasi-Einstein tensors. Our results generalize previous results obtained by Yun and Wan.
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