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Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

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  • Ibrahim Al-Dayel
  • Meraj Ali Khan
  • Mohammad Shuaib
  • Qingkai Zhao

Abstract

This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis of these submanifolds. Notably, we present a proof demonstrating the absence of stable currents for these submanifolds under a specific condition.

Suggested Citation

  • Ibrahim Al-Dayel & Meraj Ali Khan & Mohammad Shuaib & Qingkai Zhao, 2023. "Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection," Journal of Mathematics, Hindawi, vol. 2023, pages 1-8, October.
    • Handle: RePEc:hin:jjmath:5035740
    DOI: 10.1155/2023/5035740
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