Abstract
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.
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Aquino, C.P., de Lima, H.F., dos Santos, F.R. et al. Characterizations of Spacelike Hyperplanes in the Steady State Space via Generalized Maximum Principles. Milan J. Math. 83, 199–209 (2015). https://doi.org/10.1007/s00032-015-0238-x
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DOI: https://doi.org/10.1007/s00032-015-0238-x