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Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds

机译:近似渐近流形的翘曲积半不变子流形

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摘要

We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type M_⊥ ×M_T is a usual Riemannian product of M_⊥ and M_T, where M_⊥ and M_T are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold M, respectively. Thus we consider the warped product of the type M_T/M_⊥ and obtain a characterization for such type of warped product.
机译:我们研究了近共辛流形的翘曲积半不变子流形。我们证明了M_⊥×M_T类型的翘曲积是M_⊥和M_T的常规黎曼乘积,其中M_⊥和M_T分别是近似共辛流形M的反不变和不变子流形。因此,我们考虑了类型为M_T /M_⊥的变形产品,并获得了此类变形产品的特征。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第3期|p.1-12|共12页
  • 作者单位

    Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia;

    Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia;

    Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia;

    School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India;

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