Harmonic and biharmonic Riemannain submersions from Sol space
| Autor: | Wang, Ze-Ping, Ou, Ye-Lin, Liu, Qi-Long |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we give a complete classification of harmonic and biharmonic Riemannian submersions $\pi:(R^3,g_{Sol})\to (N^2,h)$ from Sol space into a surface by proving that there is neither harmonic nor biharmonic Riemannian submersion $\pi:(R^3,g_{Sol})\to (N^2,h)$ from Sol space no matter what the base space $(N^2,h)$ is. We also prove that a Riemannian submersion $\pi:(R,g_{Sol})\to (N^2,h)$ from Sol space exists only when the base space is a hyperbolic space form. Comment: arXiv admin note: text overlap with arXiv:2302.11545 |
| Databáze: | arXiv |
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