Willmore-Like Tori in Killing Submersions Barros Díaz, Manuel Garay, Óscar J. Pámpano, Álvaro 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. 2019-07-11T09:35:16Z 2019-07-11T09:35:16Z 2018-06-12 info:eu-repo/semantics/article Barros Díaz, Manuel; Garay, Óscar J.; Pámpano, Álvaro. Willmore-Like Tori in Killing Submersions. Advances in Mathematical Physics Volume 2018, Article ID 4652516, 9 pages [https://doi.org/10.1155/2018/4652516] http://hdl.handle.net/10481/56346 10.1155/2018/4652516 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Hindawi