2 papers
math.DG2012
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…
math.DG2008
Knots in Riemannian manifolds
Fuquan Fang, S. Mendonca
In this paper we study submanifold with nonpositive extrinsic curvature in a positively curved manifold. Among other things we prove that, if is a totally geode…