Back to almost Ricci solitons
Differential Geometry
2023-04-10 v1
Abstract
In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons. Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to substantiate the concept of almost Ricci solitons.
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Cite
@article{arxiv.2304.03584,
title = {Back to almost Ricci solitons},
author = {Vladimir Rovenski and Sergey Stepanov and Irina Tsyganok},
journal= {arXiv preprint arXiv:2304.03584},
year = {2023}
}
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8 pages