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arXiv · 1206.0098

Nonpositively curved manifolds containing a prescribed nonpositively curved hypersurface

T. Tam Nguyen Phan
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Abstract

We use pinched smooth hyperbolization to show that every closed, nonpositively curved $n$-dimensional manifold $M$ can be embedded as a totally geodesic submanifold of a closed, nonpositively curved $(n+1)$-dimensional manifold $\hat{M}$ of geometric rank one.

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T. Tam Nguyen Phan. 2012-06-14. Nonpositively curved manifolds containing a prescribed nonpositively curved hypersurface. https://arxiv.org/abs/1206.0098

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