Back to Almost Ricci Solitons

Authors : Vladimir ROVENSKİ, Sergey STEPANOV, Irina TSYGANOK
Pages : 208-214
Doi:10.36890/iejg.1223973
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Publication Date : 2023-04-30
Article Type : Research Paper
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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