Manifolds with many hyperbolic planes
classification
🧮 math.DG
keywords
geodesichyperbolicexamplesmanifoldsplanestotallyabundancecomplete
read the original 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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