Deformable hypersurfaces of $\mathbb{H}^k\times \mathbb{S}^{n-k+1}$

Miguel Ibieta Jimenez; Ruy Tojeiro

Deformable hypersurfaces of $\mathbb{H}^k\times \mathbb{S}^{n-k+1}$

Differential Geometry 2026-08-05 v1

Authors: Miguel Ibieta Jimenez , Ruy Tojeiro

Abstract

We investigate the deformable hypersurfaces of the conformally flat Riemannian products $\mathbb{H}^k\times \mathbb{S}^{n-k+1}$ , $2\leq k\leq n-1$ , of hyperbolic space and a sphere with constant sectional curvatures $-1$ and $1$ , respectively.

Keywords

deformable hypersurfaces conformally flat Riemannian products hyperbolic space sphere

Cite

@article{arxiv.2608.05429,
  title  = {Deformable hypersurfaces of $\mathbb{H}^k\times \mathbb{S}^{n-k+1}$},
  author = {Miguel Ibieta Jimenez and Ruy Tojeiro},
  journal= {arXiv preprint arXiv:2608.05429},
  year   = {2026}
}