Conformal Fibrations of \(S^3\) by Circles

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Sebastian Heller

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Originalspracheundefiniert/unbekannt
FachzeitschriftContemp. Math.,
PublikationsstatusVeröffentlicht - 3 Dez. 2013

Abstract

It is shown that analytic conformal submersions of \(S^3\) are given by intersections of (not necessary closed) complex surfaces with a quadratic real hyper-surface in \(\mathbb{C}P^3.\) A new description of the space of circles in the 3-sphere in terms of a natural bilinear form on the tangent sphere bundle of \(S^3\) is given. As an application it is shown that every conformal fibration of \(S^3\) by circles is the Hopf fibration up to conformal transformations.

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Conformal Fibrations of \(S^3\) by Circles. / Heller, Sebastian.
in: Contemp. Math., 03.12.2013.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Heller, S 2013, 'Conformal Fibrations of \(S^3\) by Circles', Contemp. Math.,.
Heller, S. (2013). Conformal Fibrations of \(S^3\) by Circles. Contemp. Math.,.
Heller S. Conformal Fibrations of \(S^3\) by Circles. Contemp. Math.,. 2013 Dez 3.
Heller, Sebastian. / Conformal Fibrations of \(S^3\) by Circles. in: Contemp. Math.,. 2013.
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