On Locally Conformal Kaehler Submersions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Int Electronic Journal Geometry
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We study locally conformal Kaehler submersions, i.e., almost Hermitian submersions whose total manifolds are locally conformal Kaehler. We prove that the vertical distribution of a locally conformal Kaehler submersion is totally geodesic iff the Lee vector field of total manifold is vertical. We also obtain the O'Neill tensors A and T with respect to the Weyl connection of a locally conformal Kaehler submersion. Then, we proved that the horizontal distribution of such a submersion is integrable iff A equivalent to 0. Finally, we get Chen-Ricci inequalities for locally conformal Kaehler space form submersions and Hopf space form submersions.
Açıklama
Anahtar Kelimeler
Locally conformal Kaehler manifold, almost Hermitian submersion, Hopf space form submersion, O'Neill tensors, horizontal distribution.
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
17
Sayı
2
