GENERALIZED WINTGEN INEQUALITY FOR SUBMANIFOLDS IN GENERALIZED (κ, μ)-SPACE FORMS

초록

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

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