CR-structures on Seifert manifolds
CR-structures on Seifert manifolds
复制标题
DOI：
10.1007/bf01245069
复制
发表时间：
1991-12
影响因子：
3.1
通讯作者：
Y. Kamishima;T. Tsuboi
中科院分区：
文献类型：
--
作者：
Y. Kamishima;T. Tsuboi
This paper concerns the existence and classification of nondegenerate CR-structures on closed manifolds invariant under the circle group actions. A nondegenerate CR-structure on a smooth manifold is a contact subbundle of the tangent bundle of codimension 1 together with a complex structure on it. A CR-manifold is a smooth odd dimensional manifold equipped with a nondegenerate CR-structure. If a (2n+ 1)-manifold M admits a 1-form co with the property that co/x (do~)"# 0, then M is called a contact manifold and co is a contact form. Suppose that a manifold M admits a contact structure with contact form co. Put Null co={X~ TMIw (X)= 0}. Null~ o is a codimension 1 subbundle of TM. Then Null~ o is called a contact subbundle. Namely, the skew symmetric bilinear form
