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Commun. Korean Math. Soc. 2023; 38(1): 179-193
Online first article December 27, 2022 Printed January 31, 2023
https://doi.org/10.4134/CKMS.c210026
Copyright © The Korean Mathematical Society.
Geometric inequalities for warped products submanifolds in generalized complex space forms
Mohd Aquib, Mohd Aslam, Michel Nguiffo Boyom, Mohammad Hasan Shahid
University of Delhi; Jamia Millia Islamia; IMAG: Alexander Grothendieck Research Institute; Jamia Millia Islamia
In this article, we derived Chen's inequality for warped product bi-slant submanifolds in generalized complex space forms using semi-symmetric metric connections and discuss the equality case of the inequality. Further, we discuss non-existence of such minimal immersion. We also provide various applications of the obtained inequalities.
Keywords: Chen's inequality, warped product, bi-slant submanifolds, generalized complex space forms, semi-symmetric metric connection
MSC numbers: Primary 53B40, 53B42, 53C15
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