Conformal anti-invariant submersions from almost Hermitian manifolds


AKYOL M. A. , Sahin B.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, ss.43-70, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1408-20
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.43-70

Özet

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arose from the definition of a conformal submersion, and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.