Slant submersions from almost Hermitian manifolds


ŞAHİN B.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, cilt.54, ss.93-105, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 54 Konu: 1
  • Basım Tarihi: 2011
  • Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Sayfa Sayıları: ss.93-105

Özet

As a generalization of almost Hermitian submersions and anti-invariant submersions, we introduce slant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, 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 slant submersion to be totally geodesic. Moreover, we obtain a decomposition theorem for the total manifold of such submersions.