6 citations · 8 across the 5 of their papers we have counts for
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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…
Topological obstructions for submanifolds in low codimension
Christos-Raent Onti, Theodoros Vlachos
We prove integral curvature bounds in terms of the Betti numbers for compact submanifolds of the Euclidean space with low codimension. As an application, we obtain topological obst…
A class of superconformal surfaces
Marcos Dajczer, Theodoros Vlachos
Superconformal surfaces in Euclidean space are the ones for which the ellipse of curvature at any point is a nondegenerate circle. They can be characterized as the surfaces for whi…
Isometric deformations of minimal surfaces in
Theodoros Vlachos
We consider the isometric deformation problem for oriented non simply connected immersed minimal surfaces . We prove that the space of all isometric minimal immersio…
Complete minimal hypersurfaces of with zero Gauss-Kronecker curvature
T. Hasanis, A. Savas-Halilaj, T. Vlachos
We investigate the structure of 3-dimensional complete minimal hypersurfaces in the unit sphere with Gauss-Kronecker curvature identically zero.