THREE-DIMENSIONAL ALMOST $\alpha$-PARA-KENMOTSU MANIFOLDS SATISFYING CERTAIN NULLITY CONDITIONS

Facta Universitatis. Series Mathematics and Informatics

Ximin Liu¹ 

[1] Dalian Universityof Technology

关键词: Almost paracontact metric manifold;    almost $\alpha$-para-Kenmotsu manifold;    nullity distribution.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper, we study 3-dimensional  almost $\alpha$-para-Kenmotsu manifolds satisfying special types of nullity conditions depending on smooth functions $\tilde{\kappa},\tilde{\mu}$ and $\tilde{\nu}$=constant, also we present a local description of the structure of a 3-dimensional almost $\alpha$-para-Kenmotsu $(\tilde{\kappa},\tilde{\mu},\tilde{\nu}=const.)$-manifold $(M,\tilde{\varphi},\xi,\eta,\tilde{g})$ with $\tilde{\kappa}+\alpha^{2}\neq0$ such that $d\tilde{\kappa}\wedge\eta=0$.

【 授权许可】

Unknown