Willmore-Like Tori in Killing Submersions-Reference-Cited by-同舟云学术

Willmore-Like Tori in Killing Submersions

Published:2018-06-12 Issue: Volume:2018 Page:1-9
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Barros Manuel¹,Garay Óscar J.²^ORCID,Pámpano Álvaro²

Affiliation:

1. Departamento de Geometría y Topología, Universidad de Granada, Granada, Spain

2. Department of Mathematics, Faculty of Science and Technology, University of the Basque Country UPV/EHU, Bilbao, Spain

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.

Funder

MINECO-FEDER

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2018/4652516.pdf

Reference32 articles.

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