5 citations · 5 across the 3 of their papers we have counts for
3 papers · 1 filter
Isometry actions and geodesics orthogonal to submanifolds
Antonio J. Di Scala, Sérgio Mendonça, Heudson Mirandola +1
We investigate submanifolds in space forms such that every geodesic orthogonal to the submanifold intersects a fixed totally geodesic submanifold. We obtain an application to horos…
Surfaces in with constant principal angles with respect to a plane
Pierre Bayard, Antonio J. Di Scala, Osvaldo Osuna-Castro +1
We study surfaces in whose tangent spaces have constant principal angles with respect to a plane. Using a PDE we prove the existence of surfaces with arbitrary constant prin…
Classification of constant angle hypersurfaces in warped products via eikonal functions
Eugenio Garnica, Oscar Palmas, Gabriel Ruiz-Hernandez
Given a warped product of the real line with a Riemannian manifold of arbitrary dimension, we classify the hypersurfaces whose tangent spaces make a constant angle with the vector…