满足$\varphi l=l\varphi$的3-维仿切触度量流形的分类

A Classification of 3-dimensional Paracontact Metric Manifolds with $\varphi l=l\varphi$

英文关键词:paracontact metric manifold  para-Sasakian manifold  $\eta$-parallel Ricci tensor  cyclic $\eta$-parallel Ricci tensor

中文摘要:

      

英文摘要:

      Let $M^{3}$ be a 3-dimensional paracontact metric manifold. Firstly, a classification of $M^{3}$ satisfying $\varphi Q=Q\varphi$ is given. Secondly, manifold $M^{3}$ satisfying $\varphi l=l\varphi$ and having $\eta$-parallel Ricci tensor or cyclic $\eta$-parallel Ricci tensor is studied.