On spectral geometry of minimal parallel submanifolds |
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Authors: | G. Calvaruso D. Perrone |
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Affiliation: | (1) Dipartimento di Matematica, Università degli Studi di Lecce, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy |
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Abstract: | We consider the problem of characterizing some minimal submanifolds using the spectrum0Spec of the Laplace-Beltrami operator acting on fucntions. In particular we characterize then-dimensional compact minimal totally real parallel submanifolds immersed in the complex projective spaceCP n, 3≤n≤6, by their0Spec in the class of all compact totally real minimal submanifolds ofCP n. Moreover, we characterize the Clifford torus by its0Spec in the class of all compact minimal submanifolds of the Euclidean sphereS n+1(1). Authors supported by funds of the University of Lecce and the M.U.R.S.T. |
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Keywords: | KeywordHeading" >2000 Mathematics Subject Classification 58J50 53C42 53C40 |
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