Generalized Wintgen inequality for submanifolds in generalized (Ƙ;µ)-space forms

Abstract

In this paper, we obtain a generalized Wintgen-type inequality for sub-manifolds in generalized (Ƙ;µ)-space forms. Further, we discuss the inequality for bi-slant submanifolds, semi-slant submanifolds, hemi-slant submanifolds, CR-sub-manifolds and slant submanifolds in various ambient spaces. In particular, we gen-eralize some recent results of Mihai, Tohoku Math. J. 69 (2017), and Aquib et al., Tamkang J. Math. 50 (2019) and Mathematics 7(12) (2019).