4 papers
Submanifolds of higher rank with curvature normals of constant length
Santiago Castañeda-Montoya, Guillermo Lobos, Carlos Olmos
We study the local geometry of Euclidean submanifolds of rank at least two whose curvature normals with respect to the flat part of the normal bundle have constant length, equivale…
The index of symmetry and homogeneous fibrations
Ángel Cidre-Díaz, Carlos E. Olmos, Alberto Rodríguez-Vázquez
We develop new tools to compute the index of symmetry in the context of homogeneous fibrations. As a consequence of our results, we determine the index of symmetry of every homogen…
Normal Holonomy of Complex Hyperbolic Submanifolds
Santiago Castañeda Montoya, Carlos E. Olmos
We prove that the restricted normal holonomy group of a Kähler submanifold of the complex hyperbolic space is always transitive, provided the index of relative nu…
Complete cohomogeneity one hypersurfaces of
Felippe Guimarães, Fernando Manfio, Carlos E. Olmos
We study isometric immersions into hyperbolic space of dimension of a complete Riemannian manifold of dimension on which a compact c…