Nonlinear Harmonic Forms and an Indefinite Bochner Formula
Differential Geometry
2015-10-22 v2
Abstract
We introduce the study of nonlinear harmonic forms. These are forms which minimize the energy in a cohomology class subject to a nonlinear constraint. In this note, we include only motivations and the most basic existence results. We also introduce a variant of the Bochner formula suitable for probing the structure of the intersection form of a 4-manifold.
Cite
@article{arxiv.1411.0144,
title = {Nonlinear Harmonic Forms and an Indefinite Bochner Formula},
author = {Mark Stern},
journal= {arXiv preprint arXiv:1411.0144},
year = {2015}
}
Comments
12 pages, title changed, first and second variation discussion added