On Lagrangian submersions


Tastan H. M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.43, sa.6, ss.993-1000, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.15672/hjms.2014437529
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.993-1000

Özet

In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kahlerian manifold is integrable. We also give some applications of this result. Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.