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Minimal area surfaces and fibered hyperbolic $3$-manifolds

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 نشر من قبل Franco Vargas Pallete
 تاريخ النشر 2021
  مجال البحث
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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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