충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제34권3호
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  • Pages.235-251
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  • 2021
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO SEMI-SYMMETRIC METRIC CONNECTION

  • Pahan, Sampa (Department of Mathematics, Mrinalini Datta Mahavidyapith)
  • 투고 : 2018.06.26
  • 심사 : 2020.02.04
  • 발행 : 2021.08.15
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초록

The aim of the present paper is to study 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Firstly, we prove that extended generalized M-projective 𝜙-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection is an 𝜂-Einstein manifold with respect to Levi-Civita connection under some certain conditions. Later we study some curvature properties of 3-dimensional trans-Sasakian manifold admitting the above connection.

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과제정보

The author wish to express her sincere thanks and gratitude to the referee for the valuable suggestions towards the improvement of the paper.

참고문헌

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