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Scalar curvature, volume, and Weil-Petersson translation length

Rudd, Cameron Gates
arXiv (All) · Papers
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differential-geometrygeometric-topology
We construct metrics on pseudoAnosov mapping tori that make every fiber an intrinsically hyperbolic stable minimal surface, and which have scalar curvature identically -6. Using this, we give a new proof (with improved constant) of an inequality bounding the hyperbolic volume of a pseudoAnosov mappi
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