English

Biharmonic CMC Hypersurfaces in the Warped Product Space

Differential Geometry 2021-05-20 v1

Abstract

We find the necessary and sufficient condition for the proper biharmonic CMC hypersurfaces in the special warped product space. Furthermore, we obtain that there exists no proper biharmonic CMC compact hypersurface there.

Keywords

Cite

@article{arxiv.2105.08939,
  title  = {Biharmonic CMC Hypersurfaces in the Warped Product Space},
  author = {Najma Mosadegh and Esmaiel Abedi},
  journal= {arXiv preprint arXiv:2105.08939},
  year   = {2021}
}