Biharmonic constant mean curvature surfaces in Killing submersions

Montaldo, Stefano
;
Onnis, Irene I.;
2018-01-01

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.
2018
Biharmonic surfaces; Constant mean curvature; Killing submersions; Mathematical physics; Physics and astronomy (all); Geometry and topology
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