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<p>In this paper, we study sequential product submanifolds with respect to a semi-symmetric metric connection. We derive expressions for the covariant derivatives, Riemannian curvature, Ricci curvature, and scalar curvature of these sequential warped product submanifolds with respect to the semi-symmetric metric connection. Furthermore, we establish a relationship between these curvatures and their counterparts computed using the Levi-Civita connection. Additionally, we introduce a generalized curvature inequality for sequential warped product submanifolds endowed with the semi-symmetric metric connection in complex space forms. Moreover, this work lays a robust groundwork for future investigations and advancements in this field of study.</p>

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On curvature invariants for sequential warped products with semi symmetric metric connection

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Mohamd Saleem Lone,
  • Mehraj Ahmad Lone,
  • Prince Majeed

摘要

In this paper, we study sequential product submanifolds with respect to a semi-symmetric metric connection. We derive expressions for the covariant derivatives, Riemannian curvature, Ricci curvature, and scalar curvature of these sequential warped product submanifolds with respect to the semi-symmetric metric connection. Furthermore, we establish a relationship between these curvatures and their counterparts computed using the Levi-Civita connection. Additionally, we introduce a generalized curvature inequality for sequential warped product submanifolds endowed with the semi-symmetric metric connection in complex space forms. Moreover, this work lays a robust groundwork for future investigations and advancements in this field of study.