Submersions of hemi-slant submanifolds
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce Riemannian submersions of a hemi-slant submanifold of a Kahler manifold by observing the integrability of the anti-invariant distribution of a hemi-slant submanifold and the integrability of the vertical distribution of a Riemannian submersion. Using this notion, we show that the base manifold is a Kahler manifold in the submersion of a hemi-Kaehlerian slant submanifold of an almost Hermitian manifold. We obtain an inequality between the sectional curvature of the hemi-Kaehlerian slant submanifold and the holomorphic sectional curvature of the base manifold. If this inequality becomes equality, a geometric result is given. In addition, the Ricci tensor field on the horizontal distribution along this submersion is also found.
Açıklama
Anahtar Kelimeler
Kahler manifold, Riemannian submersion, hemi-slant submanifold, CR-submanifold, holomorphic sectional curvature
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
54
Sayı
5
