%AFarre, James%AVargas Pallete, Franco%BJournal Name: Proceedings of the American Mathematical Society; Journal Volume: 150; Journal Issue: 761
%D2022%I
%JJournal Name: Proceedings of the American Mathematical Society; Journal Volume: 150; Journal Issue: 761
%K
%MOSTI ID: 10466057
%PMedium: X
%TMinimal area surfaces and fibered hyperbolic 3-manifolds
%XBy work of Uhlenbeck, the largest principal curvature of any least area fiber of a hyperbolic 3 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 3 -manifolds, there is a uniform lower bound for the maximum principal curvatures of a least area minimal surface which is greater than one.
%0Journal Article