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

Nurettin Cenk Turgay

Istanbul Technical University, Faculty of Science and Letters, Department of Mathematics, Istanbul, Turkey

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 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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Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.

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