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Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Central Connecticut State University, New Britain, CT, 06050, USA

    Oscar M. Perdomo

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  1. Oscar M. Perdomo
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Correspondence to Oscar M. Perdomo.

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Perdomo, O.M. Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces. Geom Dedicata 152, 183–196 (2011). https://doi.org/10.1007/s10711-010-9552-1

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  • DOI: https://doi.org/10.1007/s10711-010-9552-1

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