2021/05/06 by James Farre, Farre, James, Franco Vargas Pallete +1
Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2105.02631
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.