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4 papers · 2 filters
Isometric immersions with flat normal bundle between space forms
M. Dajczer, C. -R. Onti, Th. Vlachos
We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is ne…
Conformal infinitesimal variations of Euclidean hypersurfaces
M. Dajczer, M. I. Jimenez, Th. Vlachos
In the realm of conformal geometry, we give a classification of the Euclidean hypersurfaces that admit a non-trivial conformal infinitesimal variation. In the restricted case of co…
On Hausdorff integrations of Lie algebroids
Matias del Hoyo, Daniel López Garcia
We present Hausdorff versions for Lie Integration Theorems 1 and 2 and apply them to study Hausdorff symplectic groupoids arising from Poisson manifolds. To prepare for these resul…
Conformal infinitesimal variations of submanifolds
M. Dajczer, M. I. Jimenez
This paper belongs to the realm of conformal geometry and deals with Euclidean submanifolds that admit smooth variations that are infinitesimally conformal. Conformal variations of…