p-Capacity and p-hyperbolicity of submanifolds
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Otros documentos de la autoría: Holopainen, Ilkka; Markvorsen, Steen; Palmer Andreu, Vicente
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p-Capacity and p-hyperbolicity of submanifoldsFecha de publicación
2009Editor
Universidad Autónoma de Madrid. Departamento de MatemáticasISSN
0213-2230Cita bibliográfica
HOLOPAINEN, Ilkka, et al. $ p $-Capacity and $ p $-Hyperbolicity of Submanifolds. Revista Matemática Iberoamericana, 2009, vol. 25, no 2, p. 709-738.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mv.helsinki.fi/home/iholopai/pLapMod16.pdfVersión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
We use explicit solutions to a drifted Laplace equation in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for p>2. The condition for $p$-hyperbolicity ... [+]
We use explicit solutions to a drifted Laplace equation in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for p>2. The condition for $p$-hyperbolicity is expressed in terms of upper support functions for the radial sectional curvatures of the ambient space and for the radial convexity of the submanifold. In the process of showing $p$-hyperbolicity we also obtain explicit lower bounds on the $p$-capacity of finite annular domains of the submanifolds in terms of the drifted $2$-capacity of the corresponding annuli in the respective comparison spaces [-]
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Revista matemàtica iberoamericana, 2009, v. 25, n. 2,Derechos de acceso
© Universidad Autónoma de Madrid. Departamento de Matemáticas
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info:eu-repo/semantics/openAccess
“Copyright. By submitting a manuscript, authors agree that, once the paper is accepted for publication, copyright is transferred to the publisher. The publisher's copyright covers the exclusive right to reproduce and distribute the article by any means. Authors, however, retain the right to have the submitted manuscript (preprint) available on the author's own homepage and on public non-commercial servers.”
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
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