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math.DG2018
Vanishing theorems for the cohomology groups of free boundary hypersurfaces
Marcos P. Cavalcante, Abraão Mendes, Feliciano Vitório
In this paper, we prove that there exists a universal constant , depending only on positive integers and , such that if is a compact free boundary sub…
math.DG2018
Characterization of hypersurfaces via the second eigenvalue of the Jacobi operator
Abraão Mendes
In this work we characterize certain immersed closed hypersurfaces of some ambient manifolds via the second eigenvalue of the Jacobi operator. First, we characterize the Clifford t…