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On contact p-spheres

Mathias Zessin
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Abstract

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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Mathias Zessin. 2005-04-09. On contact p-spheres. https://arxiv.org/abs/math/0504185

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