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.DG2024
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 of…
math.DG2011
Isometric immersions of warped products
M. Dajczer, T. Vlachos
We provide conditions under which an isometric immersion of a (warped) product of manifolds into a space form must be a (warped) product of isometric immersions.