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On biconservative hypersurfaces in pseudo-Riemannian space forms and their Gauss map

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National Library of Serbia

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We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E4 1, pseudo-Euclidean space E5 2 and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

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Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, biconservative hypersurfaces, finite type submanifolds, Global submanifolds, Lorentzian hypersurfaces, biharmonic submanifolds

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