Anti-invariant Riemannian submersions from almost Hermitian manifolds
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol.8, no.3, pp.437-447, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 8 Issue: 3
- Publication Date: 2010
- Doi Number: 10.2478/s11533-010-0023-6
- Journal Name: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.437-447
- Inonu University Affiliated: No
Abstract
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.