Finiteness theorems with integral conditions on curvature
Sylvestre Gallot (1986-1987)
Séminaire de théorie spectrale et géométrie
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Sylvestre Gallot (1986-1987)
Séminaire de théorie spectrale et géométrie
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Carolyn S. Gordon, Juan Pablo Rossetti (2003)
Annales de l'Institut Fourier
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Let be a -dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on -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 -spectrum also does not distinguish orbifolds...
Robert Brooks (1991)
Séminaire de théorie spectrale et géométrie
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Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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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.
Peter Buser (1982)
Annales scientifiques de l'École Normale Supérieure
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