切触伪度量流形的特征向量场

Characteristic Vector Field of Contact Pseudo-metric Manifolds

设M2n+1为切触伪度量流形,ξ为M2n+1的特征向量场,主要研究切触伪度量流形的ξ-截曲率.当ξ为共形Killing向量场时,给出了M2n+1为K-切触流形的充要条件.

We study the sectional curvature of a plane spanned by a vector field X and the characteristic vector field on a contact pseudo-metric manifold M2n＋1. Moreover, the necessary and sufficient conditions for a contact pseudo-metric manifold to be a K-contact manifold are investigated.