近切触流形的φ*-解析向量场
φ*-ANALYTIC VECTOR FLELDS IN ALMOST CONTACT MANIFOLDS

本文引入了近切触流形（M，？，ξ，η，g）中φ*-解析向量场的概念，并研究了其性质.利用近切触流形的性质，证明了切触度量流形中的φ*-解析向量场v是Killing向量场且φv不是φ*-解析的.特别地，如果近切触流形M是正规的，得到v与ξ平行且模长为常数.另外，证明了3维的切触度量流形不存在非零的φ*-解析向量场.
In this article, we introduce the conception of φ*-analytic vector field in almost contact manifold (M, ？, ξ, η, g) and study its properties. Making use of the properties of almost contact manifold, we prove that in a contact metric manifold the φ*-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-zero φ*-analytic vector field