Isometry actions and geodesics orthogonal to submanifolds
Differential Geometry
2012-10-02 v1
Abstract
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 horospheres in Hadamard manifolds.
Keywords
Cite
@article{arxiv.1210.0527,
title = {Isometry actions and geodesics orthogonal to submanifolds},
author = {Antonio J. Di Scala and Sérgio Mendonça and Heudson Mirandola and Gabriel Ruiz-Hernández},
journal= {arXiv preprint arXiv:1210.0527},
year = {2012}
}
Comments
16 pages