On Donaldson’s flow of surfaces in a hyperkähler four-manifold |
| |
Authors: | Jian Song Ben Weinkove |
| |
Affiliation: | (1) Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA;(2) Department of Mathematics, Imperial College, London, SW7 2AZ, UK |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|