Evolve nondegenerate two forms

Weiyong He

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arXiv · 1510.08798

Evolve nondegenerate two forms

Weiyong He

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Abstract

We introduce geometric flows on a compact almost complex manifold, with the aim to flow a nondegenerate two form to a symplectic two form. We discuss mainly two flows, $d^*d$-flow and $d^*d$-Ricci flow. Among others, we prove the uniqueness and short time existence for smooth initial data. We also discuss the extension problem and a long time example on the warped product.

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Weiyong He. 2015-10-29. Evolve nondegenerate two forms. https://arxiv.org/abs/1510.08798

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