Semi-invariant Submersions from Almost Hermitian Manifolds

Sahin B.

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, cilt.56, ss.173-183, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 56 Konu: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.4153/cmb-2011-144-8
  • Dergi Adı: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
  • Sayfa Sayıları: ss.173-183

Özet

We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.