Anti-invariant Riemannian submersions from almost Hermitian manifolds


Sahin B.

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, cilt.8, ss.437-447, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.2478/s11533-010-0023-6
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.437-447

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.