English

A note on generalized Myers-type theorems for h-almost Ricci tensors and generalized quasi-Einstein tensors

Differential Geometry 2021-11-03 v2

Abstract

In this paper, we prove some compactness theorems of Myers, Ambrose, and Galloway for complete Riemannian manifold in the concept of hh-almost Ricci tensors and generalized quasi-Einstein tensors. Also, we extend the previous theorems when hh has at most linear growth in the distance function.

Keywords

Cite

@article{arxiv.1910.09820,
  title  = {A note on generalized Myers-type theorems for h-almost Ricci tensors and generalized quasi-Einstein tensors},
  author = {Sanghun Lee},
  journal= {arXiv preprint arXiv:1910.09820},
  year   = {2021}
}

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14 pages