Harmonic morphisms on conformally flat 3-spheres

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

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  • Sebastian Heller

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Originalspracheundefiniert/unbekannt
FachzeitschriftBull. Lond. Math. Soc.
PublikationsstatusVeröffentlicht - 26 Feb. 2009

Abstract

We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat \(3-\)sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional.

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Harmonic morphisms on conformally flat 3-spheres. / Heller, Sebastian.
in: Bull. Lond. Math. Soc., 26.02.2009.

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

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title = "Harmonic morphisms on conformally flat 3-spheres",
abstract = " We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat \(3-\)sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional. ",
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journal = "Bull. Lond. Math. Soc.",
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