Biharmonic constant mean curvature surfaces in Killing submersions

Autor(es)

Montaldo, Stefano ^[1] ; Onnis, Irene I. ^[2] ; Passamani, Apoena Passos ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 133, p. 91-101, NOV 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático