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math.DG2020★ 1 cited
Morse inequalities for the area functional
Fernando C. Marques, Rafael Montezuma, André Neves
In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies , in both th…
math.DG2020
Counting minimal surfaces in negatively curved 3-manifolds
Danny Calegari, Fernando C. Marques, André Neves
We introduced an asymptotic quantity that counts area-minimizing surfaces in negatively curved closed 3-manifolds and show that quantity to only be minimized, among all metrics of…