Two-forms on four-manifolds and elliptic equations
Abstract
We define a general class of elliptic equations for 2-forms on 4-manifolds, of which the complex Monge-Ampere equation is a prototype. We obtain some regularity results and discuss various connections (some speculative) with modern symplectic 4-manifold theory.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2006
- DOI:
- 10.48550/arXiv.math/0607083
- arXiv:
- arXiv:math/0607083
- Bibcode:
- 2006math......7083D
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Symplectic Geometry;
- 58J60