Hemi-Slant Submersions


TAŞTAN H. M. , ŞAHİN B. , YANAN Ş.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, ss.2171-2184, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-015-0602-7
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2171-2184

Özet

As a generalization of anti-invariant submersions, semi-invariant submersions and slant submersions, we introduce the notion of hemi-slant submersion and study such submersions from Kahlerian manifolds onto Riemannian manifolds. After we study the geometry of leaves of distributions which are involved in the definition of the submersion, we obtain new conditions for such submersions to be harmonic and totally geodesic. Moreover, we give a characterization theorem for the proper hemi-slant submersions with totally umbilical fibers.