On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay; Abhitosh Upadhyay

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Differential Geometry 2017-02-20 v1

Authors: Nurettin Cenk Turgay , Abhitosh Upadhyay

Abstract

In this paper, we study biconservative hypersurfaces in $\mathbb S^{n}$ and $\mathbb H^{n}$ . Further, we obtain complete explicit classification of biconservative hypersurfaces in $4$ -dimensional Riemannian space form with exactly three distinct principal curvatures.

Keywords

biconservative hypersurfaces riemannian space forms principal curvatures explicit classification spheres hyperbolic spaces

Cite

@article{arxiv.1702.05469,
  title  = {On biconservative hypersurfaces in 4-dimensional Riemannian space forms},
  author = {Nurettin Cenk Turgay and Abhitosh Upadhyay},
  journal= {arXiv preprint arXiv:1702.05469},
  year   = {2017}
}

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