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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Biharmonic constant mean curvature surfaces in Killing submersions

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Author(s):
Montaldo, Stefano [1] ; Onnis, Irene I. [2] ; Passamani, Apoena Passos [3]
Total Authors: 3
Affiliation:
[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari - Italy
[2] Univ Sao Paulo, Dept Matemat, CP 668 ICMC, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Espirito Santo, Dept Matemat, BR-29075910 Vitoria, ES - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 133, p. 91-101, NOV 2018.
Web of Science Citations: 0
Abstract

A 3-dimensional Riemannian manifold is called Killing submersion if it admits a Riemannian submersion over a surface such that its fibers are the trajectories of a complete unit Killing vector field. In this paper, we give a characterization of proper biharmonic CMC surfaces in a Killing submersion. In the last part, we also classify the proper biharmonic Hopf cylinders in a Killing submersion. (C) 2018 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 16/24707-4 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants