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math.DG2019
A note on generalized Myers-type theorems for h-almost Ricci tensors and generalized quasi-Einstein tensors
Sanghun Lee
In this paper, we prove some compactness theorems of Myers, Ambrose, and Galloway for complete Riemannian manifold in the concept of -almost Ricci tensors and generalized quasi-…
math.DG2019
Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor
Seungsu Hwang, Sanghun Lee
For Riemannian manifolds with a smooth measure , we prove a generalized Myers compactness theorem when Bakry--Emery Ricci tensor is bounded from below and …
math.DG2019
Myers-type compactness theorem with the Bakry-Emery Ricci tensor
Seungsu Hwang, Sanghun Lee
In this paper, we first prove the -mean curvature comparison in a smooth metric measure space when the Bakry-Emery Ricci tensor is bounded from below and is bounded. Based…