• Corpus ID: 231846894

# Area, Scalar Curvature, and Hyperbolic 3-Manifolds

```@inproceedings{Lowe2021AreaSC,
title={Area, Scalar Curvature, and Hyperbolic 3-Manifolds},
author={Ben Lowe},
year={2021}
}```
• Ben Lowe
• Published 6 February 2021
• Mathematics
Let M be a closed hyperbolic 3-manifold that contains a closed immersed totally geodesic surface Σ. Then if g is a Riemannian metric on M with scalar curvature greater than or equal to −6, we show that the area in g of any surface homotopic to Σ is greater than or equal to the area of Σ in the hyperbolic metric, with equality only if g is isometric to the hyperbolic metric. We also consider a functional introduced by Calegari-MarquesNeves that is defined by an asymptotic count of minimal…
1 Citations
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• 2021
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