Back to Almost Ricci Solitons

Year 2023, Volume: 16 Issue: 1, 208 - 214, 30.04.2023

Vladimir Rovenski , Sergey Stepanov , Irina Tsyganok

https://doi.org/10.36890/iejg.1223973

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.

Keywords

Almost Ricci soliton, energy density, infinitesimal harmonic transformation, conformal Killing vector

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