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arXiv · 1803.03701

Biharmonic constant mean curvature surfaces in Killing submersions

Stefano Montaldo·Irene I. Onnis·Apoena Passos Passamani
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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.

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Stefano Montaldo, Irene I. Onnis, Apoena Passos Passamani. 2018-03-09. Biharmonic constant mean curvature surfaces in Killing submersions. https://doi.org/10.1016/j.geomphys.2018.05.028

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