Two-forms on four-manifolds and elliptic equations

Preprint

4 July 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0607083

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.

Keywords

ELLIPTIC EQUATIONS
FOUR MANIFOLDS
MANIFOLD THEORY
MANIFOLDS
MONGE AMPERE
PROTOTYPE
REGULARITY
TWO FORMS
VARIOUS CONNECTIONS
MODERN SYMPLECTIC

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Version 1, 2006-07-04, ArXiv

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