Manifolds with many hyperbolic planes

Samuel Lin; Benjamin Schmidt

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arXiv · 1612.02022

Manifolds with many hyperbolic planes

Samuel Lin·Benjamin Schmidt

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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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BibTeX RIS

Samuel Lin, Benjamin Schmidt. 2016-12-06. Manifolds with many hyperbolic planes. https://arxiv.org/abs/1612.02022

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