Chen’s Inequalities for Submanifolds in (<i>&kgreen;, &#181</i>)-Contact Space Form with a Semi-Symmetric Non-Metric Connection

In this paper, we obtain Chen’s inequalities in (k,?μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.

Sasakian切触度量 (κ,μ)-空间中子流形的分类(英文)

特征矢量场属于某 (κ ,μ) 幂零分布的切触度量流形称为切触度量 (κ ,μ)空间 ,本文中我们证明了当κ2 + μ2 ≠ 0时 ,一个非Sasakian切触度量 (κ ,μ) 空间中的任何子流形要么是不变的全测地子流形 ,要么为反不变子流形 .

非Sasakian切触度量(k,μ)空间中子流形

特征矢量场满足一(k,μ)零分布条件的切触度量流形称为切触度量(k,μ)空间.考察非Sasakian切触度量(k,μ)空间中子流形,证明了它的每个子流形必是切触CR子流形.同时还研究了其切触全脐子流形,证明了它的每个切触全脐超曲面是具有3个不同常主曲率的极小浸入.