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Colbois, Bruno
Nom
Colbois, Bruno
Affiliation principale
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 3 sur 3
- PublicationMétadonnées seulementRiemannian Metrics with large lambda(1)(1994-12-21)
; Dodziuk, JozefWe show that every compact smooth manifold of three or more dimensions carries a Riemannian metric of volume one and arbitrarily large first eigenvalue of the Laplacian. - PublicationMétadonnées seulementTubes and eigenvalues for negatively curved manifolds(1993)
; Dodziuk, JozefWe investigate the structure of the spectrum near zero for the Laplace operator on a complete negatively curved Riemannian manifold M. If the manifold is compact and its sectional curvatures K satisfy 1 less-than-or-equal-to K < 0, we show that the smallest positive eigenvalue of the Laplacian is bounded below by a constant depending only on the volume of M. Our result for a complete manifold of finite volume with sectional curvatures pinched between -a2 and -1 asserts that the number of eigenvalues of the Laplacian between 0 and (n -1)2/4 is bounded by a constant multiple of the volume of the manifold with the constant depending on a and the dimension only. - PublicationMétadonnées seulementSmall Eigenvalues of the Laplacian on Negatively Curved Manifolds(1990-7-21)
; Dodziuk, Jozef