• Title/Summary/Keyword: bi-slant submanifolds

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CHARACTERIZATION OF WARPED PRODUCT SUBMANIFOLDS OF LORENTZIAN CONCIRCULAR STRUCTURE MANIFOLDS

  • Hui, Shyamal Kumar;Pal, Tanumoy;Piscoran, Laurian Ioan
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1303-1313
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    • 2019
  • Recently Hui et al. ([8,9]) studied contact CR-warped product submanifolds and also warped product pseudo-slant submanifolds of a $(LCS)_n$-manifold $\bar{M}$. The characterization for both these classes of warped product submanifolds have been studied here. It is also shown that there do not exists any proper warped product bi-slant submanifold of a $(LCS)_n$-manifold. Although the existence of a bi-slant submanifold of $(LCS)_n$-manifold is ensured by an example.

GEOMETRIC INEQUALITIES FOR WARPED PRODUCTS SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

  • Mohd Aquib;Mohd Aslam;Michel Nguiffo Boyom;Mohammad Hasan Shahid
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.179-193
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    • 2023
  • In this article, we derived Chen's inequality for warped product bi-slant submanifolds in generalized complex space forms using semisymmetric 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.