5 papers
Generalized warped products and the -nullity of Riemannian curvature
Claudio Gorodski, Felippe Guimarães
In this short survey, we show how two (classes of) known examples of inhomogeneous, curvature homogeneous Riemannian manifolds with nontrivial -nullity can be seen as deformatio…
Complete submanifolds with relative nullity in space forms
Samuel Canevari, Guilherme Machado de Freitas, Felippe Guimarães +2
We use techniques based on the splitting tensor to explicitly integrate the Codazzi equation along the relative nullity distribution and express the second fundamental form in term…
Real Kähler Submanifolds in Codimension
Alcides de Carvalho, Felippe Guimarães
We show that a real Kähler submanifold in codimension is essentially a holomorphic submanifold of another real Kähler submanifold in lower codimension if the second fundamental…
Conformal immersion of Riemannian products in low codimension
Felippe Guimarães, Bruno Mendonça
We proved that a conformal immersion of as an hipersurface in a Euclidean space must be an extrinsic product of immersions, under the assumption that $n…
Singular genuine rigidity
Luis A. Florit, Felippe Guimarães
We extend the concept of genuine rigidity of submanifolds by allowing mild singularities, mainly to obtain new global rigidity results and unify the known ones. As one of the conse…