English

Compact spacelike biconservative hypersurfaces in de Sitter space

Differential Geometry 2025-06-06 v1

Abstract

In this paper, we investigate the geometry of compact spacelike biconservative hypersurfaces with constant scalar curvature in de Sitter space S1m+1(c)\mathbb{S}_1^{m+1}(c), under some geometric constraints. Our results extend the understanding of rigidity properties of such hypersurfaces in pseudo-Riemannian settings.

Keywords

Cite

@article{arxiv.2506.04744,
  title  = {Compact spacelike biconservative hypersurfaces in de Sitter space},
  author = {Aykut Kayhan},
  journal= {arXiv preprint arXiv:2506.04744},
  year   = {2025}
}
R2 v1 2026-07-01T03:00:52.610Z