The spectrum of the Laplacian and volume growth of proper minimal submanifolds
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
The spectrum of the Laplacian and volume growth of proper minimal submanifoldsData de publicació
2022-07Editor
Springer-Verlag GmbH GermanyISSN
0025-5874; 1432-1823Cita bibliogràfica
Bessa, G.P., Gimeno, V. & Polymerakis, P. The spectrum of the Laplacian and volume growth of proper minimal submanifolds. Math. Z. 301, 2761–2770 (2022). https://doi.org/10.1007/s00209-022-02999-5Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal
submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic
version of Brooks’s essential ... [+]
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal
submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic
version of Brooks’s essential spectrum estimate (Brooks, Math Z 178(4): 501–508, 1981,
Thm. 1) and it gives a fairly general answer to a question of Yau (Asian J Math 4(1): 235–
278, 2000) about upper bounds for the first eigenvalue (bottom of the spectrum) of immersed
minimal surfaces of R3. [-]
Publicat a
Mathematische Zeitschrift, Vol. 301 (2022)Entitat finançadora
CNPq-Brazil | Universitat Jaume I | DGI -MINECO (FEDER) | Max Planck Institute for Mathematics (Bonn)
Codi del projecte o subvenció
303057/2018-1 | P1-1B2012-18 | MTM2013-48371-C2-2-P
Títol del projecte o subvenció
Isoperimetría extrínseca, crecimiento del volumen y topología de subvariedades en una variedad con un polo. Aplicaciones a la teoría de la información cuántica | Análisis geométrico y aplicaciones
Drets d'accés
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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