On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic Curvature
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http://dx.doi.org/ 10.1007/s11118-013-9349-6 |
Metadades
Títol
On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic CurvatureAutoria
Data de publicació
2014Editor
Springer VerlagISSN
0926-2601; 1572-929XTipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007/s11118-013-9349-6Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Potential Anal (2014) 40:267–278Drets d'accés
"The final publication is available at Springer via http://dx.doi.org/10.1007/s11118-013-9349-6"
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