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B.-Y. Chen’s Inequality for Bi-warped Products and Its Applications in Kenmotsu manifolds

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Abstract

In this paper, we establish a sharp inequality for the squared norm of the second fundamental form of bi-warped product submanifolds of Kenmotsu manifolds. The equality case is also considered. We also provide a non-trivial example and some applications of derived inequality.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Siraj Uddin, Falleh R. Al-Solamy & Amani Saloom

  2. Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Mohammad Hasan Shahid

Authors
  1. Siraj Uddin
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  2. Falleh R. Al-Solamy
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  3. Mohammad Hasan Shahid
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  4. Amani Saloom
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Correspondence to Siraj Uddin.

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Uddin, S., Al-Solamy, F.R., Shahid, M.H. et al. B.-Y. Chen’s Inequality for Bi-warped Products and Its Applications in Kenmotsu manifolds. Mediterr. J. Math. 15, 193 (2018). https://doi.org/10.1007/s00009-018-1238-1

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  • DOI: https://doi.org/10.1007/s00009-018-1238-1

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