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math.DG2023
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…
math.DG2023★ 1 cited
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…