Conformal anti-invariant submersions from almost Hermitian manifolds

Akyol M. A., Şahin B.

Turkish Journal of Mathematics, cilt.40, sa.1, ss.43-70, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1408-20
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.43-70
  • Anahtar Kelimeler: Anti-invariant submersion, Conformal anti-invariant sub-mersion, Conformal submersion, Riemannian submersion
  • Uşak Üniversitesi Adresli: Hayır

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.