Published in |
Journal of Gökova Geometry Topology, Volume 3 (2009) |
Title |
A generalised Joyce construction for a family of
nonlinear partial differential equations |
Author |
Simon Donaldson |
Abstract |
We show that a certain family of nonlinear fourth order partial differential equations in two variables can be reduced to linear equations. This extends a
construction of Joyce and also the description by Chern and Terng of affine maximal
surfaces.
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Pages | 1-8 |
Download |
PDF |
Submitted: | April 7, 2009 |
Accepted: | April 18, 2009 |
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