A classification of Biconservative Hypersurfaces in the Minkowski spaces
Abstract
In this paper, we study Lorentzian biconservative hypersurfaces for which the gradient of their mean curvature H is lightlike, i.e. H, H=0. We establish the non-existence of such hypersurfaces in the Minkowski spaces by conducting a rigorous analysis of both the Codazzi and Gauss equations.
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