GENERALIZED WINTGEN INEQUALITY FOR SUBMANIFOLDS IN GENERALIZED (kappa, mu)-SPACE FORMS

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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).

키워드

Wintgen inequalitybi-slant submanifoldgeneralized (kappa, mu)-space form
제목
GENERALIZED WINTGEN INEQUALITY FOR SUBMANIFOLDS IN GENERALIZED (kappa, mu)-SPACE FORMS
저자
Lee, Chul WooLee, Jae WonVilcu, Gabriel-Eduard
DOI
10.2989/16073606.2021.1884140
발행일
2022-04
유형
Article
저널명
Quaestiones Mathematicae
45
4
페이지
497 ~ 511