Willmore energy estimates in conformal Berger spheres

Manuel Barros and Angel Ferrández

Chaos, Solitons & Fractals, 2011, vol. 44, issue 7, 515-521

Abstract: We obtain isoperimetric inequalities for the Willmore energy of Hopf tori in a wide class of conformal structures on the three sphere. This class includes, on the one hand, the family of conformal Berger spheres and, on the other hand, a one parameter family of Lorentzian conformal structures. This allows us to give the best possible lower bound of Willmore energies concerning isoareal Hopf tori.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:7:p:515-521

DOI: 10.1016/j.chaos.2011.04.003

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