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

Authors
Lee, Chul WooLee, Jae WonVilcu, Gabriel-Eduard
Issue Date
3-Apr-2022
Publisher
TAYLOR & FRANCIS LTD
Keywords
Wintgen inequality; bi-slant submanifold; generalized (kappa, mu)-space form
Citation
QUAESTIONES MATHEMATICAE, v.45, no.4, pp.497 - 511
Indexed
SCIE
SCOPUS
Journal Title
QUAESTIONES MATHEMATICAE
Volume
45
Number
4
Start Page
497
End Page
511
URI
https://scholarworks.bwise.kr/gnu/handle/sw.gnu/1400
DOI
10.2989/16073606.2021.1884140
ISSN
1607-3606
Abstract
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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