On Donaldson's flow of surfaces in a hyperkahler four-manifold
Differential Geometry
2009-01-12 v1
Abstract
We prove some basic properties of Donaldson's flow of surfaces in a hyperkahler 4-manifold. When the initial submanifold is symplectic with respect to one K\"ahler form and Lagrangian with respect to another, we show that certain kinds of singularities cannot form, and we prove a convergence result under a condition related to one considered by M.-T. Wang for the mean curvature flow.
Cite
@article{arxiv.math/0606394,
title = {On Donaldson's flow of surfaces in a hyperkahler four-manifold},
author = {Jian Song and Ben Weinkove},
journal= {arXiv preprint arXiv:math/0606394},
year = {2009}
}
Comments
19 pages