R. R. Mesquita

most citedHadamard type variation formulas for the eigenvalues of the

η

-Laplacian and applications

3 citations · 4 across the 2 of their papers we have counts for

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math.DG2017★ 1 cited

On the spectra of geometric operators evolving with geometric flows

R. R. Mesquita, D. M. Tsonev

In this work we generalise various recent results on the evolution and monotonicity of the eigenvalues of certain geometric operators under specified geometric flows. Given a close…

math.DG2015★ 3 cited

Hadamard type variation formulas for the eigenvalues of the $η$ -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 $M$ . We assume the Dirichlet boundary condition for the $η$ -Laplacian and obtain Hadamard type var…

On the spectra of geometric operators evolving with geometric flows

Hadamard type variation formulas for the eigenvalues of the η-Laplacian and applications

Hadamard type variation formulas for the eigenvalues of the $η$ -Laplacian and applications