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<p>In this paper, we examine the Nijenhuis tensor of pseudo-cosymplectic manifolds. The adjoint <i>G</i>-structure of an almost contact metric manifold is constructed, the first group of such manifolds is defined. The pseudo-cosymplectic subclass of quasi-cosymplectic manifolds is distinguished and the first group of structure equations is obtained for them. We obtained necessary and sufficient conditions under which a pseudo-cosymplectic manifold is cosymplectic, most precisely cosymplectic, normal, or integrable.</p>

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The Nijenhuis Tensor of a Pseudo-Cosymplectic Manifold

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. R. Rustanov,
  • S. V. Kharitonova

摘要

In this paper, we examine the Nijenhuis tensor of pseudo-cosymplectic manifolds. The adjoint G-structure of an almost contact metric manifold is constructed, the first group of such manifolds is defined. The pseudo-cosymplectic subclass of quasi-cosymplectic manifolds is distinguished and the first group of structure equations is obtained for them. We obtained necessary and sufficient conditions under which a pseudo-cosymplectic manifold is cosymplectic, most precisely cosymplectic, normal, or integrable.