Harmonic Morphisms on Conformally Flat 3-spheres

نویسنده

  • SEBASTIAN HELLER
چکیده

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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تاریخ انتشار 2009