279 citations
- Universidade de São PauloBR9 papers
- Universidade Federal de Santa CatarinaBR8 papers
- Universidade Federal de São CarlosBR7 papers
- Universidade Federal FluminenseBR7 papers
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- Instituto Federal do AmazonasBR4 papers
- Technical University of MunichDE4 papers
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14 papers · 1 filter
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…
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…
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…