Willmore-Like Tori in Killing Submersions
Joint Authors
Garay, Óscar J.
Barros, Manuel
Pámpano, Álvaro
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Barros, Manuel& Garay, Óscar J.& Pámpano, Álvaro. 2018. Willmore-Like Tori in Killing Submersions. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119164
Modern Language Association (MLA)
Barros, Manuel…[et al.]. Willmore-Like Tori in Killing Submersions. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119164
American Medical Association (AMA)
Barros, Manuel& Garay, Óscar J.& Pámpano, Álvaro. Willmore-Like Tori in Killing Submersions. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119164
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119164