Calculus of Variations and Geometric Measure Theory

A. Guerra - X. Lamy - K. Zemas

Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant

created by zemas on 16 Jul 2025
modified on 05 Dec 2025

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Submitted Paper

Inserted: 16 jul 2025
Last Updated: 5 dec 2025

Year: 2025

Abstract:

We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, provided that the radius of the target 2- sphere is not smaller than the radius of the domain 3-sphere.


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