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

Seungsu Hwang; Sanghun Lee

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arXiv · 1904.08694

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

Seungsu Hwang·Sanghun Lee

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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.

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BibTeX RIS

Seungsu Hwang, Sanghun Lee. 2019-04-18. Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor. https://arxiv.org/abs/1904.08694

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