In the present paper, we study Clairaut submersions and Einstein conditions whose total manifolds are locally conformal Kaehler manifolds. We first give a necessary and sufficient condition for a curve to be geodesic on total manifold of a locally conformal Kaehler submersion. Then, we investigate conditions for a locally conformal Kaehler submersion to be a Clairaut submersion.We find the Ricci and scalar curvature formulas between any fiber of the total manifold and the base manifold of a locally conformal Kaehler submersion and give necessary and sufficient conditions for the total manifold of a locally conformal Kaehler submersion to be Einstein. Finally, we obtain some formulas for sectional and holomorphic sectional curvatures for a locally conformal Kaehler submersion.
Riemannian submersion almost Hermitian submersion locally conformal Kaehler submersion Clairaut submersion Einstein manifold
Birincil Dil | İngilizce |
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Konular | Temel Matematik (Diğer) |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 21 Haziran 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 1 Sayı: 1 |