Counting minimal surfaces in negatively curved 3-manifolds
Differential Geometry
2020-02-05 v1 Dynamical Systems
Geometric Topology
Abstract
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.
Cite
@article{arxiv.2002.01062,
title = {Counting minimal surfaces in negatively curved 3-manifolds},
author = {Danny Calegari and Fernando C. Marques and André Neves},
journal= {arXiv preprint arXiv:2002.01062},
year = {2020}
}
Comments
27 pages