English

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

Differential Geometry 2019-04-19 v1

Abstract

For Riemannian manifolds with a smooth measure (M,g,efdvg)(M, g, e^{-f}dv_{g}), we prove a generalized Myers compactness theorem when Bakry--Emery Ricci tensor is bounded from below and ff is bounded.

Keywords

Cite

@article{arxiv.1904.08694,
  title  = {Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor},
  author = {Seungsu Hwang and Sanghun Lee},
  journal= {arXiv preprint arXiv:1904.08694},
  year   = {2019}
}

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9 pages