COUNTING MINIMAL SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS

Danny Calegari, FERNANDO C. MARQUES, André Neves

Research output: Contribution to journalArticlepeer-review

1 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 languageEnglish (US)
Pages (from-to)1615-1648
Number of pages34
JournalDuke Mathematical Journal
Volume171
Issue number8
DOIs
StatePublished - Jun 1 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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