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Some Remarks and Results on h-Almost Ricci Solitons

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Abstract

In this paper, we will focus our attention on the structure of \(h\)-almost Ricci solitons. We obtain certain conditions that if \((M,g)\) be a complete \(h\)-almost Ricci soliton Riemannian manifold then the fundamental group \({{\pi }_{1}}(M)\) of M will finite. Also, we prove that a complete shrinking h-almost Ricci soliton \((M,g,X,h,\lambda )\) is compact if and only if \(\left\| X \right\|\) is bounded on \((M,g)\).

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Correspondence to Hamed Faraji or Shahroud Azami.

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Hamed Faraji, Shahroud Azami Some Remarks and Results on h-Almost Ricci Solitons. Russ Math. 66, 71–75 (2022). https://doi.org/10.3103/S1066369X22120039

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