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<p>The goal of this paper is to investigate pseudo-umbilical submanifolds of locally product Riemannian manifolds. Considering the projections on submanifold, we examine different identities under which pseudo-umbilical submanifolds of locally product Riemannian manifold is umbilical, <i>F</i>-invariant and F-anti-invariant, respectively.</p>

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Pseudo-umbilical submanifolds of locally product Riemannian manifolds

  • 期刊论文

  • 发表日期：

    2026年7月28日

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  • Mehraj Ahmad Lone,
  • Idrees Fayaz Harry,
  • Mohamd Saleem Lone

摘要

The goal of this paper is to investigate pseudo-umbilical submanifolds of locally product Riemannian manifolds. Considering the projections on submanifold, we examine different identities under which pseudo-umbilical submanifolds of locally product Riemannian manifold is umbilical, F-invariant and F-anti-invariant, respectively.