5 citations · 5 across the 4 of their papers we have counts for
6 papers
Timelike surfaces in Minkowski space with a canonical null direction
Victor H. Patty-Yujra, Gabriel Ruiz-Hernández
Given a constant vector field in Minkowski space, a timelike surface is said to have a canonical null direction with respect to if the projection of on the tangent spac…
Minimal helix submanifolds and Minimal Riemannian foliations
Antonio J. Di Scala, Gabriel Ruiz-Hernandez
We investigate minimal helix submanifolds of any dimension and codimension immersed in Euclidean space. Our main result proves that a ruled minimal helix submanifold is a cylinder.…
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…
Hypersurfaces with a canonical principal direction
Eugenio Garnica, Oscar Palmas, Gabriel Ruiz-Hernández
Given a vector field in a Riemannian manifold, a hypersurface is said to have a canonical principal direction relative to if the projection of onto the tangent space of…
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…