caa a22 4500 445884657 CHVBK 20180317145555.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10711-010-9552-1 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9552-1 Perdomo Oscar Department of Mathematics, Central Connecticut State University, 06050, New Britain, CT, USA aut Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces [Elektronische Daten] [Oscar Perdomo] In this paper we provide a family of algebraic space-like surfaces in the three dimensional anti de Sitter space that shows that this Lorentzian manifold admits algebraic maximal examples of any order. Then, we classify all the space-like order two algebraic maximal hypersurfaces in the anti de Sitter N-dimensional space. Finally, we provide two families of examples of Lorentzian order two algebraic zero mean curvature hypersurfaces in the de Sitter space. Springer Science+Business Media B.V., 2010 Algebraic nationallicence Anti de Sitter spaces nationallicence Lorentzian nationallicence Space like nationallicence Maximal nationallicence Zero mean curvature nationallicence Geometriae Dedicata Springer Netherlands 152/1(2011-06-01), 183-196 0046-5755 152:1<183 2011 152 10711 https://doi.org/10.1007/s10711-010-9552-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9552-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Perdomo Oscar Department of Mathematics, Central Connecticut State University, 06050, New Britain, CT, USA aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 152/1(2011-06-01), 183-196 0046-5755 152:1<183 2011 152 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer