호남수학학술지 (Honam Mathematical Journal)

  • 제45권2호
  • /
  • Pages.215-230
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  • 2023
  • /
  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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GENERALIZED SASAKIAN SPACE FORMS ON W0-CURVATURE TENSOR

  • Tugba Mert (Department of Mathematics, University of Sivas Cumhuriyet) ;
  • Mehmet Atceken (Department of Mathematics, University of Aksaray)
  • 투고 : 2022.05.06
  • 심사 : 2023.01.02
  • 발행 : 2023.06.01
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초록

In this article, generalized Sasakian space forms are investigated on W0 -curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W0-curvature tensor. Special curvature conditions established with the help of Riemann, Ricci, concircular, projective curvature tensors are discussed on W0-curvature tensor. With the help of these curvature conditions, important characterizations of generalized Sasakian space forms are obtained. In addition, the concepts of W0-pseudosymmetry and W0 -Ricci pseudosymmetry are defined and the behavior according to these concepts for the generalized Sasakian space form is examined.

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참고문헌

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