On Donaldson's flow of surfaces in a hyperkähler four-manifold

Jian Song*, Ben Weinkove

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We prove some basic properties of Donaldson's flow of surfaces in a hyperkähler 4-manifold. When the initial submanifold is symplectic with respect to one Kähler 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.

Original languageEnglish (US)
Pages (from-to)769-787
Number of pages19
JournalMathematische Zeitschrift
Volume256
Issue number4
DOIs
StatePublished - Aug 2007

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'On Donaldson's flow of surfaces in a hyperkähler four-manifold'. Together they form a unique fingerprint.

Cite this