3 papers
math.DG2024
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…
math.DG2024
On minimal homogeneous submanifolds of the hyperbolic space up to codimension two
Felippe Guimarães, Joeri Van der Veken
We show that a minimal homogeneous submanifold , , of a hyperbolic space up to codimension two is totally geodesic.
math.DG2023
A note on parallel mean curvature surfaces and Codazzi operators
Felippe Guimarães
We present an intrinsic Klotz-Osserman type theorem for surfaces in terms of Codazzi operators. Additionally, utilizing Simons' formula, we investigate surfaces with parallel mean…