TY - JOUR T1 - Ricci Curvature of Certain Submanifolds in Kenmotsu Space Forms AU - Liu , Jianyu AU - Liu , Ximin JO - Communications in Mathematical Research VL - 4 SP - 340 EP - 348 PY - 2021 DA - 2021/07 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19355.html KW - Kenmotsu space form, Ricci curvature, k-Ricci curvature, bi-slant submanifold, semi-slant submanifold. AB -

In this paper, we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for bi-slant and semi-slant submanifolds in Kenmotsu space forms. Estimates of the scalar curvature and the $k$-Ricci curvature, in terms of the squared mean curvature, are also proved respectively.