Biharmonic isometric immersions into and biharmonic Riemannian submersions from Berger 3-spheres
| Autor: | Wang, Ze-Ping, Ou, Ye-Lin |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: arXiv admin note: substantial text overlap with arXiv:2302.11545 |
| Databáze: | arXiv |
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