The object of the present paper is to study the Riemannian solitons on (LCS)nmanifolds and we observed in this case the Riemann soliton on M is shrinking, steady or expanding according to α 2−ρ being positive, zero or negative respectively. Here also we discussed the Riemann solitons in (LCS)n-manifold admitting (i) R·C = 0, R·K = 0, (ii) E ·C = 0, E ·K = 0, (iii) R·R = 0, R·P = 0, R·E = 0, R·P ∗ = 0, R·M = 0, R ·Wi =0, R ·W∗ i = 0, (iv) E ·R = 0, E ·P = 0, E · E = 0, E ·P ∗ = 0, E ·M = 0, E · Wi = 0 and E · W∗ i = 0.( for all i = 1, 2, ....9). We found that the Riemann soliton on M is shrinking, steady or expanding according to the conditions (i) α 2 − ρ being positive, zero or negative respectively, (ii) [k(n−1) (n − 2) (1+α 2−ρ)−kr−r] being positive, zero or negative respectively and (iv) α 2 − ρ being negative, zero or positive. But for the condition (iii) the Riemann soliton on M is always steady.
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Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Makaleler |
Yazarlar | |
Proje Numarası | NA |
Yayımlanma Tarihi | 1 Kasım 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 18 Sayı: 2 |