A classification of Biconservative Hypersurfaces in the Minkowski spaces

Aykut Kayhan

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arXiv · 2410.17903

A classification of Biconservative Hypersurfaces in the Minkowski spaces

Aykut Kayhan

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Abstract

In this paper, we study Lorentzian biconservative hypersurfaces for which the gradient of their mean curvature $H$ is lightlike, i.e. $\langle \gr H,\gr H\rangle=0$. 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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Aykut Kayhan. 2024-10-23. A classification of Biconservative Hypersurfaces in the Minkowski spaces. https://arxiv.org/abs/2410.17903

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