Minimal area surfaces and fibered hyperbolic $3$-manifolds
By work of Uhlenbeck, the largest principal curvature of any least area fiber of a hyperbolic $3$-manifold fibering over the circle is bounded below by one. We give a short argument to show that, along certain families of fibered hyperbolic $3$-manifolds, there is a uniform lower bound for the maxim...
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| Sprache: | eng |
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| Zusammenfassung: | By work of Uhlenbeck, the largest principal curvature of any least area fiber
of a hyperbolic $3$-manifold fibering over the circle is bounded below by one.
We give a short argument to show that, along certain families of fibered
hyperbolic $3$-manifolds, there is a uniform lower bound for the maximum
principal curvatures of a least area minimal surface which is greater than one. |
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| DOI: | 10.48550/arxiv.2105.02631 |