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arXiv · 2302.11692

Biharmonic isometric immersions into and biharmonic Riemannian submersions from Berger 3-spheres

Ze-Ping Wang·Ye-Lin Ou
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Abstract

In this paper, we study biharmonic isometric immersions of a surface into and biharmonic Riemannian submersion from 3-dimensional Berger spheres. We obtain a classification of proper biharmonic isometric immersions of a surface with constant mean curvature into Berger 3-spheres. We also give a complete classification of proper biharmonic Hopf tori in Berger 3-sphere. For Riemannian submersions, we prove that a Riemannian submersion from Berger 3-spheres into a surface is biharmonic if and only if it is harmonic.

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Ze-Ping Wang, Ye-Lin Ou. 2023-02-19. Biharmonic isometric immersions into and biharmonic Riemannian submersions from Berger 3-spheres. https://arxiv.org/abs/2302.11692

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