Semi-invariant Submersions from Almost Hermitian Manifolds
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Cambridge Univ Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.
Açıklama
Anahtar Kelimeler
Riemannian submersion, Hermitian manifold, anti-invariant Riemannian submersion, semi-invariant submersion
Kaynak
Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
56
Sayı
1