The spectrum of the Laplace operator on conformally flat manifolds

Grigorios Tsagas

Displaying similar documents to “The spectrum of the Laplace operator on conformally flat manifolds”

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

Robert Brooks (1984)

Mathematische Zeitschrift

Similarity:

Qualitative properties of the peripheral spectrum

Jaroslav Zemánek (2007)

Banach Center Publications

Similarity:

Spectrum of a compact flat manifold.

Toshikazu Sunada (1978)

Commentarii mathematici Helvetici

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...