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Geometric inequalities for warped products submanifolds in generalized complex space forms

Mohammad Hasan Shahid|Mohd Aquib|Mohd Aslam|Michel Nguiffo Boyom
대한수학회 (The Korean Mathematical Society)|2023.01|대한수학회논문집 (Communications of the KMS)|제38권 제1호|pp. 179-193|DOI 10.4134/CKMS.c210026

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참고문헌

키워드

semi-symmetric metric connectionChen's inequalitywarped productbi-slant submanifoldsgeneralized complex space forms
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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  3. M. Aquib, "The first fundamental equation and generalized wintgen-type inequalities for submanifolds in generalized space forms", Mathematics, 7, pp.1151~ (2019)
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  10. B. -Y. Chen, "Differential Geometry of Warped Manifolds and Submanifolds" (2017), World Scientific
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  19. S. Uddin, "Warped product bi-slant immersions in Kaehler manifolds", Mediterr. J. Math, 14(2), pp.95~105 (2017)[DOI]

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