B. Sharp

activity

20112025

most citedQualitative and quantitative estimates for minimal hypersurfaces with bounded index and area

18 citations · 63 across the 18 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.DG2024

Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison

Luca Seemungal, Ben Sharp

We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Wil…

math.AP2024

Low-energy $α$ -harmonic maps into the round sphere

Ben Sharp

We classify low-energy $α$ -harmonic maps from a closed non-spherical Riemannian surface $Σ$ of constant curvature to the round sphere via their bubble scales and centres. In partic…

Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison

Low-energy α-harmonic maps into the round sphere

Low-energy $α$ -harmonic maps into the round sphere