On Lagrangian submersions
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.43, sa.6, ss.993-1000, 2014 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 6
- Basım Tarihi: 2014
- Doi Numarası: 10.15672/hjms.2014437529
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.993-1000
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kahlerian manifold is integrable. We also give some applications of this result. Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.