On contact p-spheres

Details On contact p-spheres On contact p-spheres

2005-04-09

arxiv.org/abs/math/0504185v1

Ann. Inst. Fourier (Grenoble) 55 (2005), 1167-1194.

Mathematics

Geometric Topology

23 pages, to appear in Annales de l'Institut Fourier, Grenoble

Scientific paper

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.

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