On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic Curvature
Metadatos
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http://dx.doi.org/ 10.1007/s11118-013-9349-6 |
Metadatos
Título
On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic CurvatureAutoría
Fecha de publicación
2014Editor
Springer VerlagISSN
0926-2601; 1572-929XTipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s11118-013-9349-6Versión
info:eu-repo/semantics/publishedVersionPalabras 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 Anal (2014) 40:267–278Derechos de acceso
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