Relative parabolicity of zero mean curvature surfaces in $R^3$ and $R_1^3$

dc.creatorFernandez, Isabel
dc.creatorLopez, Francisco J.
dc.date2004-10-20
dc.date.accessioned2026-07-07T05:13:26Z
dc.date.available2026-07-07T05:13:26Z
dc.descriptionIf the Lorentzian norm on a maximal surface in the 3-dimensional Lorentz-Minkowski space $R_1^3$ is positive and proper, then the surface is relative parabolic. As a consequence, entire maximal graphs with a closed set of isolated singularities are relative parabolic. Furthermore, maximal and minimal graphs over closed starlike domains in $R_1^3$ and $R^3,$ respectively, are relative parabolic.
dc.identifierhttps://arxiv.org/abs/math/0410435
dc.identifierhttp://arxiv.org/abs/math/0410435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72940
dc.subjectDifferential Geometry
dc.subjectPrimary: 53C50, Secondary: 53A10, 53A30
dc.titleRelative parabolicity of zero mean curvature surfaces in $R^3$ and $R_1^3$
dc.typetext

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