caa a22 4500 445836334 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00209-009-0630-8 doi (NATIONALLICENCE)springer-10.1007/s00209-009-0630-8 Parabolicity of maximal surfaces in Lorentzian product spaces [Elektronische Daten] [Alma Albujer, Luis Alías] In this paper we establish some parabolicity criteria for maximal surfaces immersed into a Lorentzian product space of the form $${M^2 \times \mathbb {R}_1}$$ , where M 2 is a connected Riemannian surface with non-negative Gaussian curvature and $${M^2 \times \mathbb {R}_1}$$ is endowed with the Lorentzian product metric $${{\langle , \rangle}={\langle , \rangle}_M-dt^2}$$ . In particular, and as an application of our main result, we deduce that every maximal graph over a starlike domain $${\Omega \subseteq M}$$ is parabolic. This allows us to give an alternative proof of the non-parametric version of the Calabi-Bernstein result for entire maximal graphs in $${M^2 \times \mathbb {R}_1}$$ . Springer-Verlag, 2009 Mean curvature nationallicence Maximal surface nationallicence Parabolicity nationallicence Maximal graphs nationallicence Calabi-Bernstein result nationallicence Albujer Alma Departamento de Matemáticas, Universidad de Murcia, 30100, Espinardo, Murcia, Spain aut Alías Luis Departamento de Matemáticas, Universidad de Murcia, 30100, Espinardo, Murcia, Spain aut Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 453-464 0025-5874 267:1-2<453 2011 267 209 https://doi.org/10.1007/s00209-009-0630-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0630-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Albujer Alma Departamento de Matemáticas, Universidad de Murcia, 30100, Espinardo, Murcia, Spain aut NATIONALLICENCE 700 1- Alías Luis Departamento de Matemáticas, Universidad de Murcia, 30100, Espinardo, Murcia, Spain aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 453-464 0025-5874 267:1-2<453 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer