Willmore-Like Tori in Killing Submersions

Manuel Barros, Óscar J. Garay, Álvaro Pámpano

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a Killing submersion. A connection with generalized elastica in the base surface of the Killing submersion is found, which is exploited to analyze Willmore tori in Killing submersions and to construct foliations of Killing submersions made up of Willmore tori with constant mean curvature.

Original languageEnglish
Article number4652516
JournalAdvances in Mathematical Physics
StatePublished - 2018


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