Conformal anti-invariant submersions from cosymplectic manifolds

Akyol M. A.

Hacettepe Journal of Mathematics and Statistics, cilt.46, sa.2, ss.177-192, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.15672/hjms.20174720336
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.177-192
  • Anahtar Kelimeler: Conformal anti-invariant submersion, Conformal submersion, Cosymplectic manifold
  • Uşak Üniversitesi Adresli: Hayır

Özet

We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds. We give an example of a conformal anti-invariant submersion such that characteristic vector field ξ is vertical. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and show that the total manifold has certain product structures. Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.