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

Miguel Ibieta Jimenez; Ruy Tojeiro

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arXiv · 2608.05429

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

Miguel Ibieta Jimenez·Ruy Tojeiro

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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.

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BibTeX RIS

Miguel Ibieta Jimenez, Ruy Tojeiro. 2026-08-05. Deformable hypersurfaces of $\mathbb{H}^k\times \mathbb{S}^{n-k+1}$. https://arxiv.org/abs/2608.05429

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