Anti-invariant Riemannian submersions from almost Hermitian manifolds
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, cilt.8, sa.3, ss.437-447, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 3
- Basım Tarihi: 2010
- Doi Numarası: 10.2478/s11533-010-0023-6
- Dergi Adı: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.437-447
- İnönü Üniversitesi Adresli: Hayır
Özet
We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions.