1 citations · 2 across the 6 of their papers we have counts for
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Classification of gradient Yamabe soliton hypersurfaces of space forms
Willian Isao Tokura, Marcelo Bezerra Barboza
In this paper we investigate gradient Yamabe solitons, either steady or shrinking, that can be isometrically immersed into space forms as hypersurfaces that admit an upper bound on…
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…
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…
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…
Static Perfect Fluids With Symmetries
Marcelo Barboza, Willian Tokura, Levi Adriano
In this paper we utilize symmetries in order to exhibit exact solutions to Einstein's equation of a perfect fluid on a static manifold all of whose spatial factor belongs to the co…
Gradient Estimates on Warped Product Gradient Almost Ricci Solitons
Willian Isao Tokura, Levi Adriano, Romildo Pina +1
In this paper, by slightly modifying Li-Yau's technique so that we can handle drifting Laplacians, we were able to find three different gradient estimates for the warping function,…