Manifolds with many hyperbolic planes
Differential Geometry
2017-03-23 v2
Abstract
We construct examples of complete Riemannian manifolds having the property that every geodesic lies in a totally geodesic hyperbolic plane. Despite the abundance of totally geodesic hyperbolic planes, these examples are not locally homogenous.
Cite
@article{arxiv.1612.02022,
title = {Manifolds with many hyperbolic planes},
author = {Samuel Lin and Benjamin Schmidt},
journal= {arXiv preprint arXiv:1612.02022},
year = {2017}
}