A classification of Biconservative Hypersurfaces in the Minkowski spaces

Aykut Kayhan

A classification of Biconservative Hypersurfaces in the Minkowski spaces

Differential Geometry 2025-07-15 v2

Authors: Aykut Kayhan

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.

Keywords

biconservative hypersurfaces Lorentzian geometry Minkowski space mean curvature Codazzi equation Gauss equation lightlike gradient

Cite

@article{arxiv.2410.17903,
  title  = {A classification of Biconservative Hypersurfaces in the Minkowski spaces},
  author = {Aykut Kayhan},
  journal= {arXiv preprint arXiv:2410.17903},
  year   = {2025}
}

Comments

This manuscript is not well written. So it is needed to be revised carefully. It is not suitable for scientific research with the current version

Related papers

View all related →