Conformal semi-invariant submersions

Akyol M. A., Şahin B.

Communications in Contemporary Mathematics, cilt.19, sa.2, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s0219199716500115
  • Dergi Adı: Communications in Contemporary Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Conformal semi-invariant submersion, Conformal submersion, Kähler manifold, Riemannian submersion, Semi-invariant submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

As a generalization of semi-invariant submersions, we introduce conformal semi-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which arise from the definition of a conformal submersion and show that there are certain product structures on the total space of a conformal semi-invariant submersion. Moreover, we also check the harmonicity of such submersions and find necessary and sufficient conditions of a conformal semiinvariant submersion to be totally geodesic.