In this note we observe that one can contact embed all contact 3-manifoldsinto a Stein fillable contact structure on the twisted $S^3$-bundle over $S^2$and also into a unique overtwisted contact structure on $S^3\times S^2$. Theseresults are proven using "spun embeddings" and Lefschetz fibrations.
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机译:在此注释中,我们观察到可以将所有的接触3-流形嵌入到$ S ^ 2 $上的扭曲$ S ^ 3 $-束上的Stein可填充接触结构中,也可以嵌入到$ S ^ 3 \上的独特的超扭曲接触结构中。乘以S ^ 2 $。使用“纺纱嵌入”和Lefschetz纤维化证明了这些结果。
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