On Biconservative Hypersurfaces in Pseudo-Riemannian Space Forms and Their Gauss Map

Nurettin Cenk Turgay

Abstract: We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space ${𝔼}_1^4$, pseudo-Euclidean space ${𝔼}_2^5$ and Rieamnnian space-form ${ℍ}^4$. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

Keywords: biharmonic submanifolds, Lorentzian hypersurfaces, biconservative hypersurfaces, finite type submanifolds

Classification (MSC2000): 53C40; 53C42, 53C50

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