On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
On the fundamental tone of minimal submanifolds with controlled extrinsic curvatureAutoría
Fecha de publicación
2013Editor
SpringerISSN
0926-2601; 1572-929XTipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007%2Fs11118-013-9349-6Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the ... [+]
The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm of the second fundamental form that allow us to obtain the same upper and lower bound for the fundamental tone of minimal submanifolds in a Cartan–Hadamard ambient manifold. As an intrinsic result, we obtain a sufficient condition on the volume growth of a Cartan–Hadamard manifold to achieve the lowest bound for the fundamental tone given by McKean. [-]
Publicado en
Potential Analysis, 2013, published online 07 JuneDerechos de acceso
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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