57 citations · 115 across the 17 of their papers we have counts for
18 papers
Hadamard-type variation formulae for the eigenvalues of a class of second-order elliptic operators and its applications
Cleiton Lira Cunha, José Nazareno Vieira Gomes, Marcus Antônio Mendonça Marrocos
We use variational methods to derive Hadamard-type formulae for the eigenvalues of a class of elliptic operators on a compact Riemannian manifold . We then apply the latter in t…
Mean curvature flow in an extended Ricci flow background
José N. V. Gomes, Matheus Hudson
In this paper, we consider functionals related to mean curvature flow in an ambient space which evolves by an extended Ricci flow from the perspective introduced by Lott when study…
Geometric and analytic results for Einstein solitons
Enrique Fernando López Agila, José Nazareno Vieira Gomes
We compute a lower bound for the scalar curvature of a gradient Einstein soliton under a certain assumption on its potential function. We establish an asymptotic behavior of the po…
Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space
Marcio C. Araújo Filho, José N. V. Gomes
In this paper, we obtain eigenvalue estimates for a larger class of elliptic differential operators in divergence form on a bounded domain in a complete Riemannian manifold isometr…
Compact gradient Einstein-type manifolds with boundary
Allan George de Carvalho Freitas, José Nazareno Vieira Gomes
We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls…
On Ricci almost solitons arising from conformal vector fields
Jose N. V. Gomes, Joao F. B. Pereira, Dragomir M. Tsonev
Let be a semi-Riemannian manifold of constant sectional curvature, and endowed with a conformal vector field . Consider a Riemannian manifold , isometrica…
A note on gradient Ricci soliton warped metrics
José N. V. Gomes, Marcus A. M. Marrocos, Adrian V. C. Ribeiro
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are real…
Eigenvalue estimates of the drifted Cheng-Yau operator on bounded domains in pinched Cartan-Hadamard manifolds
Júlio C. M. da Fonseca, José N. V. Gomes
We show how a Bochner type formula can be used to establish universal inequalities for the eigenvalues of the drifted Cheng-Yau operator on a bounded domain in a pinched Cartan-Had…
Estimates of eigenvalues of an elliptic differential system in divergence form
Marcio C. Araújo Filho, José N. V. Gomes
In this paper, we compute universal estimates of eigenvalues of a coupled system of elliptic differential equations in divergence form on a bounded domain in Euclidean space. As an…
Generic spectrum of warped products and G-manifolds
Marcus A. M. Marrocos, José N. V. Gomes
In this paper, we establish a kind of splitting theorem for the eigenvalues of a specific family of operators on the base of a warped product. As a consequence, we prove a density…
A note on gradient Einstein-type manifolds
José Nazareno Vieira Gomes
In this note, we show that a nontrivial, compact, degenerate or nondegenerate, gradient Einstein-type manifold of constant scalar curvature is isometric to the standard sphere with…
Classification of base of warped product almost Ricci solitons
José N. V. Gomes, Manoel V. M. Neto
In this paper we study a Ricci-Hessian type manifold which is closely related to the construction of almost Ricci soliton realized as a warped product. We class…
Eigenvalue estimates for a class of elliptic differential operators in divergence form
José N. V. Gomes, Juliana F. R. Miranda
We compute estimates for eigenvalues of a class of linear second-order elliptic differential operators in divergence form (with Dirichlet boundary condition) on a bounded domain in…
Hadamard type variation formulas for the eigenvalues of the -Laplacian and applications
J. N. V. Gomes, M. A. M. Marrocos, R. R. Mesquita
We consider an analytic family of Riemannian metrics on a compact smooth manifold . We assume the Dirichlet boundary condition for the -Laplacian and obtain Hadamard type var…
On Eigenvalue Generic Properties of the Laplace-Neumann Operator
José N. V. Gomes, Marcus A. M. Marrocos
We establish the existence of analytic curves of eigenvalues for the Laplace-Neumann operator through an analytic variation of the metric of a compact Riemannian manifold with…
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 the construction of gradient Ricci soliton warped product
F. E. S. Feitosa, A. A. Freitas Filho, J. N. V. Gomes
In this paper we show that an expanding or steady gradient Ricci soliton warped product , , whose warping function reaches both maximum and minimum must b…
On the H-almost ricci soliton
J. N. Gomes, Qiaoling Wang, Changyu Xia
We introduce the concept {\it -almost Ricci soliton} which extends naturally the {\it almost Ricci soliton} by Pigola-Rigoli-Rimoldi-Setti and show that a compact nontrivial …