M.d. SİDDİQİ, S. K. CHAUBEY

10512

Almost Conformal $\eta$-Ricci Solitons in Three-Dimensional Lorentzian Concircular Structures

Almost Conformal $\eta$-Ricci Solitons in Three-Dimensional Lorentzian Concircular Structures

The object of the present paper is to study the properties of three-dimensional Lorentzian concircular structure ($(LCS)_{3}$-)manifolds admitting the almost conformal $\eta$-Ricci solitons and gradient shrinking $\eta$-Ricci solitons. It is proved that an $(LCS)_3$-manifold with either an almost conformal $\eta$-Ricci soliton or a gradient shrinking $\eta$-Ricci soliton is a quasi-Einstein manifold. Also, the example of an almost conformal $\eta$-Ricci soliton in an $(LCS)_{3}$-manifold is provided in the region where $(LCS)_{3}$-manifold is expanding.
Keywords:

$\eta$-Ricci solitons, $(LCS)_{n}$-manifold Quasi Einstein manifold, Einstein manifolds,

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Konuralp Journal of Mathematics-Cover
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2013
  • Yayıncı: Mehmet Zeki SARIKAYA
Arşiv
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