caa a22 4500 606210113 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00032-015-0238-x doi (NATIONALLICENCE)springer-10.1007/s00032-015-0238-x Characterizations of Spacelike Hyperplanes in the Steady State Space via Generalized Maximum Principles [Elektronische Daten] [Cícero Aquino, Henrique de Lima, Fábio dos Santos, Marco Velásquez] We deal with complete spacelike hypersurfaces immersed in the half of the de Sitter space, which models the so-called steady state space. In this setting, under some appropriated constraints on the geometry of such a spacelike hypersurface, we apply suitable generalized maximum principles in order to guarantee that it must be isometric to the Euclidean space. Springer Basel, 2015 Steady state space nationallicence complete spacelike hypersurfaces nationallicence spacelike hyperplanes nationallicence mean curvature nationallicence Gauss map nationallicence Aquino Cícero Departamento de Matemática, Universidade Federal do Piauí, 64.049-550, Teresina, Piauí, Brazil aut de Lima Henrique Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut dos Santos Fábio Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut Velásquez Marco Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 199-209 1424-9286 83:2<199 2015 83 32 https://doi.org/10.1007/s00032-015-0238-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0238-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aquino Cícero Departamento de Matemática, Universidade Federal do Piauí, 64.049-550, Teresina, Piauí, Brazil aut NATIONALLICENCE 700 1- de Lima Henrique Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut NATIONALLICENCE 700 1- dos Santos Fábio Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut NATIONALLICENCE 700 1- Velásquez Marco Departamento de Matemática, Universidade Federal de Campina Grande, 58.409-970, Campina Grande, Paraíba, Brazil aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 199-209 1424-9286 83:2<199 2015 83 32