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초록
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.
키워드
Myers theorem; Bakry-emery Ricci tensor; Generalized quasi-Einstein tensor; Mean curvature comparison; Diameter estimate; GEOMETRY; AMBROSE
- 제목
- A note on compactness theorems for the Bakry-emery Ricci tensor and generalized quasi-Einstein tensors
- 저자
- Lee, Sanghun
- 발행일
- 2021-10
- 유형
- Article
- 권
- 117
- 호
- 4
- 페이지
- 469 ~ 480