P. Bérard

activity

20002020

most citedCourant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle

26 citations · 28 across the 6 of their papers we have counts for

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math.DG2010

Eigenvalue estimates for hypersurfaces in $H^{m} \times R$ 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 $H^{m} \times R$ . As an application, in dimension 2, we prove that a com…

math.DG2000

Index Growth of hypersurfaces with constant mean curvature

Pierre Bérard, Levi Lopes de Lima, Wayne Rossman

In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in $R^{n}$ (Delaunay unduloids). When $n = 3$ , using…

Eigenvalue estimates for hypersurfaces in Hm×R and applications

Index Growth of hypersurfaces with constant mean curvature

Eigenvalue estimates for hypersurfaces in $H^{m} \times R$ and applications