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FIRST EIGENVALUE CHARACTERISATION OF CLIFFORD HYPERSURFACES AND VERONESE SURFACES
Published online by Cambridge University Press: 25 April 2024
Abstract
We give a sharp estimate for the first eigenvalue of the Schrödinger operator $L:=-\Delta -\sigma $ which is defined on the closed minimal submanifold
$M^{n}$ in the unit sphere
$\mathbb {S}^{n+m}$, where
$\sigma $ is the square norm of the second fundamental form.
MSC classification
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- Research Article
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.