On contact tops and integrable tops

Mathias Zessin

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arXiv · 0706.3158

On contact tops and integrable tops

Mathias Zessin

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Abstract

In this paper, we introduce a geometric structure called top, which is a trivialized bundle of plane pencils over a Riemannian 3-manifold, defined as the set of kernels of a circle of 1-forms (e.g. of contact and integrable forms) with particular properties with respect to the metric. We classify the manifolds which admit tops and we describe the associated metrics.

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BibTeX RIS

Mathias Zessin. 2007-06-21. On contact tops and integrable tops. https://arxiv.org/abs/0706.3158

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