R. Tojeiro

collaborators

3 papers

math.DG2026

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

Miguel Ibieta Jimenez, Ruy Tojeiro

We investigate the deformable hypersurfaces of the conformally flat Riemannian products $H^{k} \times S^{n - k + 1}$ , $2 \leq k \leq n - 1$ , of hyperbolic space and a sphere…

math.DG2026

Constant curvature hypersurfaces of cylinders over space forms

Arnando Carvalho, Ruy Tojeiro

We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces R^k x S^{n-k+1} and R^k x H^{n-k+1}, for 2 <= k <= n-1. Our results provid…

math.DG2026

On a class of hypersurfaces of a product of two space forms

Arnando Carvalho, Ruy Tojeiro

We define hypersurfaces $f : M^{n} \to Q_{c_{1}}^{k} \times Q_{c_{2}}^{n - k + 1}$ in class $A$ of a product of two space forms as those that have flat normal…

Deformable hypersurfaces of Hk×Sn−k+1

Constant curvature hypersurfaces of cylinders over space forms

On a class of hypersurfaces of a product of two space forms

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