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1 June 2022 Counting minimal surfaces in negatively curved 3-manifolds
Danny Calegari, Fernando C. Marques, André Neves
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Duke Math. J. 171(8): 1615-1648 (1 June 2022). DOI: 10.1215/00127094-2021-0057

Abstract

We introduce 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 1, by the hyperbolic metric.

Citation

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Danny Calegari. Fernando C. Marques. André Neves. "Counting minimal surfaces in negatively curved 3-manifolds." Duke Math. J. 171 (8) 1615 - 1648, 1 June 2022. https://doi.org/10.1215/00127094-2021-0057

Information

Received: 19 May 2020; Revised: 16 February 2021; Published: 1 June 2022
First available in Project Euclid: 10 May 2022

Digital Object Identifier: 10.1215/00127094-2021-0057

Subjects:
Primary: 53A10

Keywords: hyperbolic manifolds , minimal surfaces

Rights: Copyright © 2022 Duke University Press

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Vol.171 • No. 8 • 1 June 2022
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