S. Donaldson

activity

19992023

most citedInterior estimates for solutions of Abreu's equation

131 citations · 736 across the 37 of their papers we have counts for

collaborators

Showing 2018 · math.DGShow all

3 papers · 2 filters

math.DG2018

Some recent developments in Kähler geometry and exceptional holonomy

Simon Donaldson

This is a survey article, to appear in the Proceedings of the 2018 International Congress of Mathematicians. (Revised, with added and updated references.)

math.DG2018

Remarks on $G_{2}$ -manifolds with boundary

Simon Donaldson

This article is based on a lecture at the Journal of Differential Geometry Conference, Harvard 2017. We discuss closed and torsion-free $G_{2}$ -structures on a 7-manifold with boun…

math.DG2018

An elliptic boundary value problem for $G_{2}$ structures

Simon Donaldson

We show that the $G_{2}$ holonomy equation on a manifold with boundary, with prescribed 3-form on the boundary, is elliptic. The main point is to set up a suitable linear elliptic…

Some recent developments in Kähler geometry and exceptional holonomy

Remarks on G2​-manifolds with boundary

An elliptic boundary value problem for G2​ structures

Remarks on $G_{2}$ -manifolds with boundary

An elliptic boundary value problem for $G_{2}$ structures