Research Article

Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms

Published in: Quaestiones Mathematicae
Volume 45 , issue 4 , 2022 , pages: 497–511

DOI: 10.2989/16073606.2021.1884140

Author(s): Chul Woo Lee , Republic of Korea , Jae Won Lee , Republic of Korea , Gabriel-Eduard Vîlcu , Romania

Keywords: 53B25 , 53C15 , 53C40 , 53C25 , 53C21 , 53B25 , 53C15 , 53C40 , 53C25 , 53C21

Abstract

In this paper, we obtain a generalized Wintgen-type inequality for submanifolds in generalized (κ,µ)-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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