Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor
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🧮 math.DG
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boundedbakry--emeryriccitensorbelowboundscompactnesscurvature
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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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