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Index of Lagrangian submanifolds of ℂℙn and the Laplacian of 1-forms

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Abstract

Inequalities, involving the two first eigenvalues of the Laplacian acting on 1-forms of minimal Lagrangian submanifolds of the complex projective space, are obtained. The Clifford torus in the complex projective plane is characterized by its index.

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Research partially supported by a DGICYT grant No. PB90-0014-C03-02.

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Urbano, F. Index of Lagrangian submanifolds of ℂℙn and the Laplacian of 1-forms. Geom Dedicata 48, 309–318 (1993). https://doi.org/10.1007/BF01264074

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