On contact tops and integrable tops
Differential Geometry
2007-06-22 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0706.3158,
title = {On contact tops and integrable tops},
author = {Mathias Zessin},
journal= {arXiv preprint arXiv:0706.3158},
year = {2007}
}