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arXiv · 1411.0144

Nonlinear Harmonic Forms and an Indefinite Bochner Formula

Mark Stern
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Abstract

We introduce the study of nonlinear harmonic forms. These are forms which minimize the $L_2$ 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.

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Mark Stern. 2014-11-01. Nonlinear Harmonic Forms and an Indefinite Bochner Formula. https://arxiv.org/abs/1411.0144

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