Manifolds with many hyperbolic planes

2016/12/06 by Lin, Samuel, Schmidt, Benjamin
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.02022

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.

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