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math.DG2010★ 5 cited
Stability Properties of Rotational Catenoids in the Heisenberg Groups
Pierre Bérard, Marcos P. Cavalcante
In this paper, we determine the maximally stable, rotationally invariant domains on the catenoids $\cC_a$ (minimal surfaces invariant by rotations) in the Heisenberg group with a l…
math.DG2010
Eigenvalue estimates for hypersurfaces in and applications
Pierre Bérard, Philippe Castillon, Marcos P. Cavalcante
In this paper, we give a lower bound for the spectrum of the Laplacian on minimal hypersurfaces immersed into . As an application, in dimension 2, we prove that a com…