Geodesic
Some remarks and results on $h$-almost Ricci solitons
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 79-83.

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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 $\| X \|$ is bounded on $(M,g)$.
Keywords: Riemannian geometry, fundamental group, $h$-Almost Ricci soliton. 
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Hamed Faraji; Shahroud Azami. Some remarks and results on $h$-almost Ricci solitons. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 79-83. http://geodesic.mathdoc.fr/item/IVM_2022_12_a5/

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