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A note on generalized Myers-type theorems for h-almost Ricci tensors and generalized quasi-Einstein tensors
- Publication Year :
- 2019
-
Abstract
- In this paper, we prove some compactness theorems of Myers, Ambrose, and Galloway for complete Riemannian manifold in the concept of $h$-almost Ricci tensors and generalized quasi-Einstein tensors. Also, we extend the previous theorems when $h$ has at most linear growth in the distance function.<br />Comment: 14 pages
- Subjects :
- Mathematics - Differential Geometry
53C20, 53C21
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1910.09820
- Document Type :
- Working Paper