3 papers
math.DG2025
Local Wintgen ideal submanifolds
Marcos Dajczer, Theodoros Vlachos
This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equ…
math.DG2025
Partial Scalar Curvatures and Topological Obstructions for Submanifolds
C. -R. Onti, K. Polymerakis, Th. Vlachos
We investigate specific intrinsic curvatures (where ) that interpolate between the minimum Ricci curvature and the normalized scalar curvature $Ï_n=Ï…
math.DG2024
Isometric Euclidean submanifolds with isometric Gauss maps
Marcos Dajczer, Miguel I. Jimenez, Theodoros Vlachos
We investigate isometric immersions , , of Riemannian manifolds into Euclidean space with codimension two that admit isometric deformations that pr…