Hemi-slant ξ⊥−Riemannian submersions in contact geometry

Sari R., Akyol M. A.

Filomat, cilt.34, sa.11, ss.3747-3758, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 11
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2011747s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.3747-3758
  • Anahtar Kelimeler: Hemi-slant ξ⊥-Riemannian submersion, Horizontal distribution, Riemannian submersion, Sasakian manifold, Second fundamental form of a map
  • Uşak Üniversitesi Adresli: Hayır

Özet

M. A. Akyol and R. Sarı [On semi-slant ξ⊥-Riemannian submersions, Mediterr. J. Math. 14(6) (2017) 234.] defined semi-slant ξ⊥ −Riemannian submersions from Sasakian manifolds onto Rie-mannian manifolds. As a generalization of the above notion and natural generalization of anti-invariant ξ⊥−Riemannian submersions, semi-invariant ξ⊥ −Riemannian submersions and slant submersions, we study hemi-slant ξ⊥ −Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We obtain the geometry of foliations, give some examples and find necessary and sufficient condition for the base manifold to be a locally product manifold. Moreover, we obtain some curvature relations from Sasakian space forms between the total space, the base space and the fibres.