22 citations · 35 across the 18 of their papers we have counts for
21 papers
Rigity results on -Einstein solitons with zero scalar curvature
Romildo Pina, Ilton Menezes, Lucyjane Silva
In this paper we show that a -Einstein solitons conformal to a pseudo-Euclidean space, invariant under the action of the pseudo-orthogonal group with zero scalar curvature is st…
Rigidity results on gradient Schouten solitons
Romildo Pina, Ilton Menezes
In this paper we consider -Einstein solitons of type , where is conformal to a pseudo-Euclidean space and i…
Static Einstein-Maxwell space-time invariant by translation
Benedito Leandro, Ana Paula de Melo, Ilton Menezes +1
In this paper we study the static Einstein-Maxwell space when it is conformal to an -dimensional pseudo-Euclidean space, which is invariant under the action of an -dimens…
On the construction of complete expanding gradient Rici solitons
Marcio de Sousa, Paula Bonfim, Romildo Pina +1
We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional…
Einstein hypersurfaces of and
Benedito Leandro, Romildo Pina, João Paulo dos Santos
In this paper, we classify the Einstein hypersurfaces of and . We use the characterization of the hypersurfaces of…
An analysis of symmetry groups of generalized -quasi-Einstein manifolds
Paula Correia, Benedito Leandro, Romildo Pina
In this paper emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the generalized -quasi-Einstein manifold, and vice versa. Consideri…
Quasi-Einstein manifolds with structure of warped product product
Paula Gonçalves Correia Bonfim, Romildo Pina
In this paper we prove that under certain conditions in a quasi Einstein semi Riemannian warped product the fiber is necessarily a Einstein manifold. We provide all the quasi Einst…
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,…
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…
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…
On Warped Product Gradient Yamabe Soliton
Willian I. Tokura, Levi Adriano, Romildo Pina
In this paper, we provide a necessary and sufficient conditions for the warped product to be a gradient Yamabe soliton when the base is conformal to an n-dimensiona…
Invariant Solutions for the Einstein Field Equation
Marcelo Barbosa, Benedito Leandro, Romildo Pina
In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacet…
On the structure of Einstein warped product semi-Riemannian manifolds
Benedito Leandro, Márcio Lemes de Sousa, Romildo Pina
In this paper we consider a class of Einstein warped product semi-Riemannian manifolds with and . For with com…
Invariant Solutions for Gradient Ricci Almost Solitons
Tatiana Pires Bezerra Romildo Pina
In this paper we show that all conformal metrics to a pseudo-euclidean space invariant under the translation group, and all the conformal metrics product manifold also invariant by…
On the study of a class of non-linear differential equations on compact Riemannian Manifolds
Carlos Silva, Romildo Pina, Marcelo Souza
We study the existence of solutions of the non-linear differential equations on the compact Riemannian manifolds , Δ_p u + a(x)u^{p-1} = λf(u,x), (E2) where …
Classes of Weingarten Surfaces in S^2xR
Armando V Corro, Marcelo A. Souza, Romildo Pina
In this work we study surfaces in radial conformally flat spaces. We characterize surfaces of rotation with constant Gaussian and Extrinsic curvature in these radial 3-spaces. We p…
Prescribed curvature tensor in locally conformally flat manifolds
Romildo Pina, Mauricio Pieterzack
Our principal goal is to study the Prescribed Curvature Tensor problem in locally conformally flat manifolds. The solution to this problem is given explicitly for the special cases…
A family of warped product semi-Riemannian Einstein metrics
Romildo Pina, Marcio Lemes de Sousa
We study warped products semi-Riemannian Einstein manifolds. We consider the case in that the base is conformal to an n-dimensional pseudo Euclidean space and invariant under the a…
Gradient Ricci almost soliton warped product
F. E. S. Feitosa, A. A. Freitas Filho, J. N. V. Gomes +1
We present the necessary and sufficient conditions for constructing gradient Ricci almost solitons that are realized as warped products. This will be done by means of Bishop-O'Neil…
On Warped product gradient Ricci Soliton
Márcio Lemes de Sousa, Romildo Pina
In this paper we consider warped product gradient Ricci solitons. We proved that the potential function depends only on the base and the fiber is necessarily…
Ricci Tensors with Rotational Symmetry on R^n
Ronaldo Garcia, Romildo Pina
In this paper is considered the differential equation Ric(g)=T, where Ric(g) is the Ricci tensor of the metric g and T is a rotational symmetric tensor on R^n. A new, geometric, pr…