COUNTING MINIMAL SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS

Danny Calegari; FERNANDO C. MARQUES; André Neves

doi:10.1215/00127094-2021-0057

COUNTING MINIMAL SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS

Danny Calegari
, FERNANDO C. MARQUES
, André Neves

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1615-1648
Number of pages	34
Journal	Duke Mathematical Journal
Volume	171
Issue number	8
DOIs	https://doi.org/10.1215/00127094-2021-0057
State	Published - Jun 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2021-0057

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title = "COUNTING MINIMAL SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS",

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.",

author = "Danny Calegari and MARQUES, \{FERNANDO C.\} and Andr{\'e} Neves",

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/85132520179#tab=citedBy

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JO - Duke Mathematical Journal

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COUNTING MINIMAL SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS

Abstract

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