Lagrangian Submersions from Normal Almost Contact Manifolds


Tastan H. M.

FILOMAT, cilt.31, ss.3885-3895, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1712885t
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.3885-3895

Özet

We study Lagrangian submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that the horizontal distribution of a Lagrangian submersion from a Sasakian manifold onto a Riemannian manifold admitting vertical Reeb vector field is integrable, but the one admitting horizontal Reeb vector field is not. We also show that the horizontal distribution of a such submersion is integrable when the total manifold is Kenmotsu. Moreover, we give some applications of these results.