A local estimate for maximal surfaces in Lorentzian product spaces

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dc.creatorAlbujer, Alma L.
dc.creatorAlias, Luis J.
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:19Z
dc.date.available2026-07-07T13:07:19Z
dc.descriptionIn this paper we introduce a local approach for the study of maximal surfaces immersed into a Lorentzian product space of the form $M^2\times R_1$, where $M^2$ is a connected Riemannian surface and $M^2\times R_1$ is endowed with the product Lorentzian metric. Specifically, we establish a local integral inequality for the squared norm of the second fundamental form of the surface, which allows us to derive an alternative proof of our Calabi-Bernstein theorem given in \cite{AA}.
dc.descriptionTo appear in Matematica Contemporanea. Dedicated to Professor Manfredo P. do Carmo on the occasion of his 80th birthday
dc.identifierhttps://arxiv.org/abs/0904.3504
dc.identifierhttp://arxiv.org/abs/0904.3504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228053
dc.subjectDifferential Geometry
dc.subject53C42; 53C50
dc.titleA local estimate for maximal surfaces in Lorentzian product spaces
dc.typetext

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