On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
Applying the well-known Omori-Yau generalized maximum principle ([\textit{H. Omori}, J. Math. Soc. Japan 19, 205--214 (1967; Zbl 0154.21501); \textit{S.-T. Yau}, Commun. Pure Appl. Math. 28, 201--228 (1975; Zbl 0291.31002)], a suitable extension was established in [\textit{A. Caminha} and the author, Gen. Relativ. Gravitation 41, No. 1, 173--189 (2009; Zbl 1162.83304)]), the author investigates Bernstein-type properties of complete space-like hypersurfaces immersed in a generalized Robertson-Walker space-time, which is supposed to obey a standard convergence condition.
scientific article; zbMATH DE number 6118613
scientific article