3 papers
math.DG2021
Comparison geometry for integral generalized quasi-Einstein tensor bounds
Sanghun Lee
The purpose of this paper is to extend the mean curvature comparison and volume comparison estimates by Petersen, Sprouse, and Wei to integral generalized quasi-Einstein tensor. Mo…
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…