Homogeneous two-manifolds with an invariant two-form |
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| Authors: | Takeshi Sasaki Masaaki Yoshida |
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| Affiliation: | (1) Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan;(2) Department of Mathematics, Kyushu University, Ropponmatsu, Fukuoka 810–8560, Japan |
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| Abstract: | We study a 2-dimensional manifold that admits a homogeneous action of a 3-dimensional Lie group G, and has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space, and list such realizations. |
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| Keywords: | 53C30 53C42 53C45 |
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