Pierre and Sylvestre: some recollections

Gérard Besson

Displaying similar documents to “Pierre and Sylvestre: some recollections”

Finiteness theorems with integral conditions on curvature

Sylvestre Gallot (1986-1987)

Séminaire de théorie spectrale et géométrie

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Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal

Carolyn S. Gordon, Juan Pablo Rossetti (2003)

Annales de l'Institut Fourier

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Let $M$ be a $2 m$ -dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on $m$ -forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the many examples are a projective space and a hemisphere that have the same Hodge spectrum on 1- forms, and hyperbolic surfaces, mutually isospectral on 1-forms, with different injectivity radii. The Hodge $m$ -spectrum also does not distinguish orbifolds...

Compactness of isospectral sets

Robert Brooks (1991)

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Rigidity in non-negative curvature

Luis Guijarro, Peter Petersen (1997)

Annales scientifiques de l'École Normale Supérieure

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Convergence of Riemannian manifolds and Laplace operators. I

Atsushi Kasue (2002)

Annales de l’institut Fourier

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We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.

A note on the isoperimetric constant

Peter Buser (1982)

Annales scientifiques de l'École Normale Supérieure

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