20 citations · 39 across the 14 of their papers we have counts for
17 papers
Curvature homogeneous hypersurfaces in space forms
Robert Bryant, Luis Florit, Wolfgang Ziller
We classify curvature homogeneous hypersurfaces in S^4 and H^4. In higher dimesnsion one only has the FKM examples and an isolate one by Tsukada of a hypersurface in H^5. Besides s…
Scalar positive immersions
Luis A. Florit, Bernhard Hanke
As shown by Gromov-Lawson and Stolz the only obstruction to the existence of positive scalar curvature metrics on closed simply connected manifolds in dimensions at least five appe…
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…
Manifolds with conullity at most two as graph manifolds
Luis A. Florit, Wolfgang Ziller
We find necessary and sufficient conditions for a complete -dimensional Riemannian manifold of finite volume, whose curvature tensor has nullity at least , to be a geometri…
Nonnegatively curved Euclidean submanifolds in codimension two
Luis A. Florit, Wolfgang Ziller
We provide a classification of compact Euclidean submanifolds with nonnegative sectional curvature, for . The classification is in terms of t…
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…