Semi-invariant ζ-Riemannian submersions from almost contact metric manifolds

Akyol M. A., Sarl R., Aksoy E.

International Journal of Geometric Methods in Modern Physics, cilt.14, sa.5, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 5
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s0219887817500748
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: anti-invariant ζ-Riemannian submersion, Riemannian submersion, Sasakian manifold, semi-invariant ζ-Riemannian submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

As a generalization of anti-invariant ζ-Riemannian submersions, we introduce semi-invariant ζ-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry of foliations which arise from the definition of a Riemannian submersion and proving a necessary and sufficient condition for a semi-invariant ζ-Riemannian submersion to be totally geodesic. Moreover, we study semi-invariant ζ-Riemannian submersions with totally umbilical fibers.