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20172020
most citedOn Warped Product Gradient Ricci-Harmonic Soliton

4 citations · 7 across the 6 of their papers we have counts for

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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.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…

math.DG2019

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…

math.DG20191 cited

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,…

math.DG2019

Properties of Complete Noncompact Warped Product Gradient Yamabe Solitons

Willian Isao Tokura, Levi Adriano, Romildo Pina +1

In this paper, we look for properties of gradient Yamabe solitons on top of warped product manifolds. Utilizing the maximum principle, we find lower bound estimates for both the po…

math.DG2018

On Warped Product Gradient Yamabe Solitons

Willian Isao Tokura, Levi Adriano, Romildo Pina +1

The purpose of this article is to study gradient Yamabe soliton on warped product manifolds. First, we prove triviality results in the case of noncompact base with limited warping…