Sphere Bundles Transverse to Holomorphic Vector Fields |
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| Authors: | C Morales A Soares |
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| Affiliation: | 1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil
2. Departamento de Matemática, Centro Federal de Educa??o Tecnológica Celso Suckow da Fonseca, Av. Maracan?, 229, 20271-110, Rio de Janeiro, Brazil
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| Abstract: | We prove that for every pair of nonzero complex numbers λ 1 and λ 2 with \(\frac {\lambda _{1}}{\lambda _{2}}\not \in \mathbb {R}\) there is an embedding \(S^{2}\times S^{1}\rightarrow \mathbb {C}^{2}\) transverse to the linear holomorphic vector field \(Z(x,y)=\lambda _{1}x\frac {\partial }{\partial x}+\lambda _{2} y\frac {\partial }{\partial y}\) . This extends a previous result by Ito (1989). |
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