Biharmonic constant mean curvature surfaces in Killing submersions
Differential Geometry
2018-09-26 v1
Abstract
A -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.
Keywords
Cite
@article{arxiv.1803.03701,
title = {Biharmonic constant mean curvature surfaces in Killing submersions},
author = {Stefano Montaldo and Irene I. Onnis and Apoena Passos Passamani},
journal= {arXiv preprint arXiv:1803.03701},
year = {2018}
}
Comments
14 pages