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On the Spectral Rigidity of Hopf Manifolds

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Abstract

We characterize Hopf manifolds of complex dimension 3 (resp. 2) in the class of compact locally conformal Kaehler manifold ( resp. Hermitian manifold ) by the spectrum of the Laplacian acting on functions.

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  1. Dipartimento di Matematica, Universita degli Studi di lecce, 73100, Lecce, Italy

    Domenico Perrone

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  1. Domenico Perrone
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Correspondence to Domenico Perrone.

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Dedicated to the memory of Franco Tricerri

Supported by funds of the M.U.R.S.T.

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Perrone, D. On the Spectral Rigidity of Hopf Manifolds. Results. Math. 29, 311–316 (1996). https://doi.org/10.1007/BF03322227

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