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η-Einstein Solitons on (ε)-Kenmotsu Manifolds

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The objective of this study is to investigate η-Einstein solitons on (ε)-Kenmotsu manifolds when the Weyl-conformal curvature tensor satisfies some geometric properties such as being flat, semi-symmetric and Einstein semi-symmetric. Here, we discuss the properties of η-Einstein solitons on φ-symmetric (ε)-Kenmotsu manifolds.

Abstract

The objective of this study is to investigate η-Einstein solitons on (ε)-Kenmotsu manifolds when the Weyl-conformal curvature tensor satisfies some geometric properties such as being flat, semi-symmetric and Einstein semi-symmetric. Here, we discuss the properties of η-Einstein solitons on φ-symmetric (ε)-Kenmotsu manifolds.

참고문헌 (19)

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  17. M. D. Siddiqi, "η-Einstein solitons in a δ-Lorentzian trans Sasakian manifolds", Mathematical Advances in Pure and Applied Sciences, 1(1), pp.27~38 (2018)
  18. M. D. Siddiqi, "η-Einstein solitons in an(ε)-Kenmotsu manifolds with a semisymmetric metric connection", Annales. Univ. Sci. Budapest, 62, pp.5~24 (2019)
  19. X. Xufeng, "Two theorems on ϵ-Sasakian manifolds", Int. J. Math. Math. Sci, 21(2), pp.249~254 (1998)

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