We investigate 𝜁 (Ric)-vector fields on doubly warped product manifolds. We obtain some results when the vector field is also 𝜁 (Ric) on factor manifolds.We prove that if a vector field is a 𝜁 (Ric)-vector field on a doubly warped product manifold, it is also a 𝜁 (Ric)-vector field on the factor manifolds under certain conditions. Also, we show that a vector field on a doubly warped product manifold can be a 𝜁 (Ric)-vector field with some conditions. Moreover we give two important applications of this concept in the Lorentzian settings, which are the doubly warped product generalized Robertson-Walker space-time and doubly warped product standard static space-time.
𝜁(Ric)-vector field warped product manifold standard static space-times generalized Robertson-Walker space-times
Birincil Dil | İngilizce |
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Konular | Temel Matematik (Diğer) |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 17 Aralık 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 1 Sayı: 2 |