Riemannian manifolds whose Laplacians have purely continuous spectrum.

Harold Donnelly; Nicola Garafalo

Displaying similar documents to “Riemannian manifolds whose Laplacians have purely continuous spectrum.”

On the Spectrum of Non-Compact Manifolds with Finite Volume.

Robert Brooks (1984)

Mathematische Zeitschrift

Similarity:

Discreteness Conditions for the Laplacian on Complete, Non-Compact Riemannian Manifolds.

Regina Kleine (1988)

Mathematische Zeitschrift

Similarity:

Spectral Geometry for Certain Noncompact Riemannian Manifolds.

Harold Donnelly (1979)

Mathematische Zeitschrift

Similarity:

Length spectrum invariants of Riemannian manifolds.

Georgi S. Popov (1993)

Mathematische Zeitschrift

Similarity:

Lower Bounds for Eigenfunctions on Riemannian Manifolds.

Harold Donnelly (1987/88)

Mathematische Annalen

Similarity:

The Spectrum of the Bochner-Laplace Operator on the 1-Forms on a Compact Riemannian Manifold.

Grigorios Tsagas (1978/79)

Mathematische Zeitschrift

Similarity:

Differential Inequlities on Complete Riemannian Manifolds and Applications.

Leon Karp (1985)

Mathematische Annalen

Similarity:

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

Similarity:

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...