April 25, 2024

First Eigenvalue Characterisation of Clifford Hypersurfaces and Veronese Surfaces

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Abstract

Abstract We give a sharp estimate for the first eigenvalue of the Schrödinger operator L: =- - which is defined on the closed minimal submanifold M^n in the unit sphere S^n+m, where is the square norm of the second fundamental form.

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Cite This Study

P. F. Wu (Thu,) studied this question.

synapsesocial.com/papers/68e6dab7b6db643587656e6d https://doi.org/https://doi.org/10.1017/s0004972724000273

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