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arXiv 2002.01062math.DGmath.DSmath.GT

Counting minimal surfaces in negatively curved 3-manifolds

Danny Calegari, Fernando C. Marques, André Neves

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英文摘要

We introduced an asymptotic quantity that counts area-minimizing surfaces in negatively curved closed 3-manifolds and show that quantity to only be minimized, among all metrics of sectional curvature less than or equal -1, by the hyperbolic metric.

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