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Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor

Authors :
Hwang, Seungsu
Lee, Sanghun
Publication Year :
2019

Abstract

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.<br />Comment: 9 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1904.08694
Document Type :
Working Paper