Integral curvature bounds and bounded diameter with Bakry–Emery Ricci tensor

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5
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5

초록

For Riemannian manifolds with a smooth measure (M,g,e −f dv g ), we prove a generalized Myers compactness theorem when Bakry–Emery Ricci tensor is bounded from below and f is bounded. © 2019 Elsevier B.V.

키워드

Bakry–Emery Ricci curvature; Fundamental group; Myers theorem; Upper diameter bound
제목
Integral curvature bounds and bounded diameter with Bakry–Emery Ricci tensor
저자
Hwang, Seungsu; Lee, Sanghun
DOI
10.1016/j.difgeo.2019.05.003
발행일
2019-10
유형
Article
저널명
Differential Geometry and its Application
권
66
페이지
42 ~ 51