Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
Metadatos
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INVESTIGACIONMetadatos
Título
Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spacesFecha de publicación
2013Editor
© Springer, Part of Springer Science+Business MediaISSN
0021-2172Cita bibliográfica
GIMENO, Vicent; PALMER, Vicente. Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces. Israel Journal of Mathematics, 2013, 194.2: 539-553.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s11856-012-0100-6Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature, using some isoperimetric inequalities satisfied by the extrinsic ... [+]
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature, using some isoperimetric inequalities satisfied by the extrinsic balls in these surfaces (see [10]). We present an alternative and unified proof of the Chern-Osserman inequality satisfied by these minimal surfaces (in ℝ n and in ℕ n (b)), based in the isoperimetric analysis mentioned above. Finally, we show a Chern-Osserman-type equality attained by complete minimal surfaces in the Hyperbolic space with finite total extrinsic curvature. [-]
Publicado en
Israel Journal of Mathematics, 2013, 194, 2Derechos de acceso
© Springer, Part of Springer Science+Business Media
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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