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arXiv:1904.08694 [math.DG]AbstractReferencesReviewsResources

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

Seungsu Hwang, Sanghun Lee

Published 2019-04-18Version 1

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.

Comments: 9 pages
Categories: math.DG
Subjects: 53C25, 53C21
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