57 citations · 115 across the 17 of their papers we have counts for
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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…