关于K-切触流形的BOOTHBY-WANG纤维丛底流形的曲率

On the curvature of the basic manifold of Boothby-Wang fiber bundle on a K-contact manifold

本文给出了Ｋ－切触流形的ＢＯＯＴＨＢＹ－ＷＡＮＧ纤维丛底流形的连络和曲率与该切触流形的连络和曲率的关联公式。

In this paper,we present an important formula which express the relation between the curvature of K-contact manifold and the curvature of the basic manifold of its Boothby-Wang fiber bundle.Using this formula ,we can caculate the curvature of the basic manifold on Boothby-Wang fiber bundle.