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In this research paper, we analyze a non-invariant hypersurfaces of a quasi-para-Sasakian manifold with \((f, g, u, v, \lambda )\) -structure. The paper is divided into two sections. In the first section the properties of non-invariant hypersurfaces of a quasi-para-Sasakian manifold with \(\left(f, g, u, v, \lambda \right)\) -structure are discussed. In second section, the necessary and sufficient condition for totally umbilical non-invariant hypersurfaces equipped with \((f, g, u, v, \lambda )\) -structure of a quasi-para-Sasakian manifold to be totally geodesic has been explored.

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Non-Invariant Hypersurfaces of Quasi-Para-Sasakian Manifolds

  • 会议论文

  • 发表日期：

    2026年

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  • Shadab Ahmad Khan,
  • Divesh Srivastava,
  • Anis Ahmad,
  • Toukeer Khan

摘要

In this research paper, we analyze a non-invariant hypersurfaces of a quasi-para-Sasakian manifold with \((f, g, u, v, \lambda )\) -structure. The paper is divided into two sections. In the first section the properties of non-invariant hypersurfaces of a quasi-para-Sasakian manifold with \(\left(f, g, u, v, \lambda \right)\) -structure are discussed. In second section, the necessary and sufficient condition for totally umbilical non-invariant hypersurfaces equipped with \((f, g, u, v, \lambda )\) -structure of a quasi-para-Sasakian manifold to be totally geodesic has been explored.