On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
![Thumbnail](/xmlui/bitstream/handle/10234/88249/ID58991.pdf.jpg?sequence=5&isAllowed=y)
Visualitza/
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
On the fundamental tone of minimal submanifolds with controlled extrinsic curvatureAutoria
Data de publicació
2013Editor
SpringerISSN
0926-2601; 1572-929XTipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007%2Fs11118-013-9349-6Versió
info:eu-repo/semantics/acceptedVersionParaules 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 Analysis, 2013, published online 07 JuneDrets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Apareix a les col.leccions
- MAT_Articles [763]