Geodesic
On almost quotient Yamabe solitons
Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 479-493

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DOI

In this paper, we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call almost quotient Yamabe solitons as they extend quite naturally those already called quotient Yamabe solitons. We present sufficient conditions for a compact almost quotient Yamabe soliton to be either trivial or isometric with an Euclidean sphere. We also characterize noncompact almost gradient quotient Yamabe solitons satisfying certain conditions on both its Ricci tensor and potential function.
DOI : 10.1017/S0017089524000119
Mots-clés : Almost quotient Yamabe solitons, Yamabe solitons, σk-curvature, rigidity results, noncompact manifolds 
Tokura, Willian; Barboza, Marcelo; Batista, Elismar; Kai, Priscila. On almost quotient Yamabe solitons. Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 479-493. doi: 10.1017/S0017089524000119
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     title = {On almost quotient {Yamabe} solitons},
     journal = {Glasgow mathematical journal},
     pages = {479--493},
     year = {2024},
     volume = {66},
     number = {3},
     doi = {10.1017/S0017089524000119},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000119/}
}
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