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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

On generic submanifold of Sasakian manifold with concurrent vector field

Halil İbrahim YOLDAŞ
Şemsi EKEN MERİÇ
Erol YAŞAR
Sayfa
1983–1994
Yayın Tarihi
2019-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give a characterization for a generic submanifold of Sasakian manifold to be a gradient Ricci soliton.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field.
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Temel Bulgular & Veri:Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic submanifold M.
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Sonuç & Katkı:Finally, we give a characterization for a generic submanifold of Sasakian manifold to be a gradient Ricci soliton.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sasakian manifold · Ricci soliton · concurrent vector field

Abstract

In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic submanifold M. Also, we provide a necessary and sufficient condition for which the invariant distribution D and anti-invariant distribution D^{⊥} of M are Einstein. Finally, we give a characterization for a generic submanifold of Sasakian manifold to be a gradient Ricci soliton.

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Bu Makaleye Atıf Yap

YOLDAŞ, H. İ., MERİÇ, Ş. E., YAŞAR, E. (2019). On generic submanifold of Sasakian manifold with concurrent vector field. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1983–1994. https://ajindex.com/articles/746981

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Kaynakça (20)

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