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- W3205221198 abstract "On any closed hyperbolizable 3-manifold, we find a sharp relation between the minimal surface entropy (introduced by Calegari-Marques-Neves) and the average area ratio (introduced by Gromov), and we show that, among metrics g with scalar curvature greater than or equal to -6, the former is maximized by the hyperbolic metric. One corollary is to solve a conjecture of Gromov regarding the average area ratio. Our proofs use Ricci flow with surgery and laminar measures invariant under a PSL(2,R)-action." @default.
- W3205221198 created "2021-10-25" @default.
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- W3205221198 date "2021-10-18" @default.
- W3205221198 modified "2023-09-25" @default.
- W3205221198 title "Minimal Surface Entropy and Average Area Ratio" @default.
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- W3205221198 doi "https://doi.org/10.48550/arxiv.2110.09451" @default.
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