Abstract
In this paper, we establish a characterization theorem concerning the complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space, whose sectional curvature is supposed to obey certain appropriated conditions. Under a suitable restriction on the length of the second fundamental form, we prove that a such spacelike hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple.
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de Lima, H.F., de Lima, J.R. Complete Linear Weingarten Spacelike Hypersurfaces Immersed in a Locally Symmetric Lorentz Space. Results. Math. 63, 865–876 (2013). https://doi.org/10.1007/s00025-012-0237-y
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DOI: https://doi.org/10.1007/s00025-012-0237-y