On contact p-spheres
几何拓扑
2007-06-14 v1 微分几何
摘要
We study invariant contact p-spheres on principal circle-bundles and solve the corresponding existence problem in dimension 3. Moreover, we show that contact p-spheres can only exist on (4n-1)-dimensional manifolds and we construct examples of contact p-spheres on such manifolds. We also consider relations between tautness and roundness, a regularity property concerning the Reeb vector fields of the contact forms in a contact p-sphere.
引用
@article{arxiv.math/0504185,
title = {On contact p-spheres},
author = {Mathias Zessin},
journal= {arXiv preprint arXiv:math/0504185},
year = {2007}
}
备注
23 pages, to appear in Annales de l'Institut Fourier, Grenoble