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math.DG2015
Cylindricity of complete Euclidean submanifolds with relative nullity
Felippe Soares GuimarÃes, Guilherme Machado De Freitas
We show that a complete Euclidean submanifold with minimal index of relative nullity and Ricci curvature with a certain controlled decay must be a -cylinder. This is a…
math.DG2015
Classification of codimension two deformations of rank two Riemannian manifolds
Luis A. Florit, Guilherme M. de Freitas
The purpose of this work is to close the local deformation problem of rank two Euclidean submanifolds in codimension two by describing their moduli space of deformations. In the pr…