数学杂志2017，Vol.37Issue(3)：558-566,9.
近切触流形的φ∗-解析向量场
φ?-ANALYTIC VECTOR FIELDS IN ALMOST CONTACT MANIFOLDS
摘要
Abstract
In this article, we introduce the conception of φ?-analytic vector field in almost contact manifold (M,φ,ξ,η, g) and study its properties. Making use of the properties of almost contact manifold, we prove that in a contact metric manifold theφ?-analytic vector field v is Killing, and that φv must not be φ?-analytic unless zero vector field. Particularly, if M is normal, we get that v is collinear to ξ with constant length, and for the case of three dimensional contact metric manifold it is proved that there does not exist a non-zeroφ?-analytic vector field.关键词
φ∗-解析向量场/Killing向量场/近切触结构/切触度量流形/Sasaki流形Key words
φ∗-analytic vector field/Killing vector field/almost contact structure/contact manifold/Sasakian manifold分类
数理科学引用本文复制引用
陈小民..近切触流形的φ∗-解析向量场[J].数学杂志,2017,37(3):558-566,9.基金项目
Supported by the Science Foundation of China University of Petroleum-Beijing (2462015YQ0604) and partially by the Personnel Training and Academic Development Fund (2462015QZDX02). （2462015YQ0604）
