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20192021
most citedOn Warped Product Gradient Ricci-Harmonic Soliton

4 citations · 7 across the 5 of their papers we have counts for

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math.DG2021

Invariant solutions of gradient -Yamabe solitons

W. Tokura, M. Barboza, E. Batista +1

The purpose of this paper is to study gradient -Yamabe solitons conformal to pseudo-Euclidean space. We characterize all such solitons invariant under the action of an -d…

math.DG2021

Triviality results for quasi -Yamabe solitons

Willian Tokura, Elismar Batista, Priscila Kai

In this paper, we show that any compact quasi -Yamabe gradient solitons must have constant -curvature. Moreover, we provide a certain condition for a compact quasi -Ya…

math.DG20201 cited

Rigidity results for quotient almost Yamabe solitons

Marcelo Bezerra Barboza, Willian Isao Tokura, Elismar Dias Batista +1

In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturall…

math.DG2020

Immersion of gradient almost Yamabe solitons into warped product manifolds

W. Tokura, L. Adriano, E. Batista +1

The purpose of this article is to study the geometry of gradient almost Yamabe solitons immersed into warped product manifolds whose potential is given by the he…

math.DG20202 cited

Triviality results for compact k-Yamabe solitons

Willian Tokura, Elismar Batista

In this paper, we show that any compact gradient k-Yamabe soliton must have constant -curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be…

math.DG20194 cited

On Warped Product Gradient Ricci-Harmonic Soliton

Elismar Batista, Levi Adriano, Willian Tokura

In this paper we study gradient Ricci-Harmonic soliton with structure of warped product manifold. We obtain some triviality results for the potential function, warping function and…