On Semi-Slant ξ⊥ -Riemannian Submersions

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Akyol M. A., Sarı R.

Mediterranean Journal of Mathematics, cilt.14, sa.6, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00009-017-1035-2
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: anti-invariant ξ⊥-Riemannian submersion, Riemannian submersion, Sasakian manifold, semi-invariant ξ⊥-Riemannian submersion, slant Riemannian submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

The aim of the present paper is to define and study semi-slant ξ⊥-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant ξ⊥-Riemannian submersions, semi-invariant ξ⊥-Riemannian submersions and slant Riemannian submersions. We obtain characterizations, investigate the geometry of foliations which arise from the definition of this new submersion. After we investigate the geometry of foliations, we obtain necessary and sufficient condition for base manifold to be a locally product manifold and proving new conditions to be totally umbilical and totally geodesicness, respectively. Moreover, some examples of such submersions are mentioned.