Biharmonic constant mean curvature surfaces in Killing submersions

Montaldo, Stefano

;Onnis, Irene I.;Passamani, Apoena Passos

2018-01-01

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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.