Willmore‐Like Tori in Killing Submersions

Manuel Barros, Óscar J. Garay and Álvaro Pámpano

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: 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.

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2018/4652516

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:4652516

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().