M. I. Jimenez

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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.DG2024

Isometric Euclidean submanifolds with isometric Gauss maps

Marcos Dajczer, Miguel I. Jimenez, Theodoros Vlachos

We investigate isometric immersions $f : M^{n} \to R^{n + 2}$ , $n \geq 3$ , of Riemannian manifolds into Euclidean space with codimension two that admit isometric deformations that pr…

Deformable hypersurfaces of Hk×Sn−k+1

Isometric Euclidean submanifolds with isometric Gauss maps

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