On the Spectrum of Non-Compact Manifolds with Finite Volume.
Robert Brooks (1984)
Mathematische Zeitschrift
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Robert Brooks (1984)
Mathematische Zeitschrift
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Michael T. Anderson (1986)
Mathematische Annalen
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Harold Donnelly, Nicola Garafalo (1992)
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Jongsu Kim (1993)
Mathematische Annalen
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Harold Donnelly (1987/88)
Mathematische Annalen
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Ernst Heintze (1974)
Mathematische Annalen
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Harold Donnelly (1976)
Mathematische Annalen
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Jeffrey McGowan (1993)
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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...
L. Zhiyong Gao (1985)
Mathematische Annalen
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Nakad, Roger (2011)
Advances in Mathematical Physics
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John Rognes (1994)
Mathematische Annalen
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