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Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds

Author

Listed:
  • Siraj Uddin
  • S. H. Kon
  • M. A. Khan
  • Khushwant Singh

Abstract

We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type 𠑀 ⟂ × 𠑓 𠑀 𠑇 is a usual Riemannian product of 𠑀 ⟂ and 𠑀 𠑇 , where 𠑀 ⟂ and 𠑀 𠑇 are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold 𠑀 , respectively. Thus we consider the warped product of the type 𠑀 𠑇 × 𠑓 𠑀 ⟂ and obtain a characterization for such type of warped product.

Suggested Citation

  • Siraj Uddin & S. H. Kon & M. A. Khan & Khushwant Singh, 2011. "Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-12, September.
    • Handle: RePEc:hin:jnlmpe:230374
    DOI: 10.1155/2011/230374
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    Cited by:

    1. Siraj Uddin & M. Z. Ullah, 2020. "A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold," Mathematics, MDPI, vol. 8(9), pages 1-11, September.

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