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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… Click to show full abstract
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.
Keywords:
mean curvature;
constant mean;
killing submersion;
biharmonic constant;
surfaces killing;
submersion
Journal Title: Journal of Geometry and Physics
Year Published: 2018
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Journal Title: Journal of Geometry and Physics
Year Published: 2018
Link to full text (if available)
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recommendations!