Semi-Invariant Submanifolds of a Trans Sasakian Manifold with Ricci Soliton

Öz

In this paper, we investigate Ricci solitions on semi-invariant submanifolds of trans Sasakian manifold. We obtain the conditions for the soliton to be steady, shrinking and expanding. We give an example for semi-invariant submanifolds of trans Sasakian manifold with ricci soliton.

Anahtar Kelimeler

• Ricci soliton
• semi-invariant submanifolds
• trans Sasakian manifold
• Einstein manifold

Ricci solitonlu Trans Sasakian Manifoldun Semi-İnvaryant Altmanifoldları

Öz

Bu makalede, trans Sasakian manifoldunun sem-invaryant alt manifoldları üzerinde Ricci solitonu araştırıyoruz. Solitonun sabit, küçülme ve genişleme koşullarını elde ediyoruz. Ricci solitonu olan trans Sasakian manifoldunun semi-invaryant alt manifoldları için bir örnek veriyoruz.

Anahtar Kelimeler

• Ricci soliton
• semi-invaryant altmanifoldlar
• trans Sasakian manifold
• Einstein manifold

Kaynakça

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