Arnando Carvalho

collaborators

2 papers

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…

math.DG2025

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…