Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

Tastan H. M., Gerdan S.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.14, sa.6, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00009-017-1028-1
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Riemannian submersion, anti-invariant submersion, Lagrangian submersion, Clairaut submersion, Sasakian manifold, Kenmotsu manifold, RIEMANNIAN SUBMERSIONS
  • İstanbul Üniversitesi Adresli: Evet

Özet

We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector field in case of the total manifold is Sasakian. Several illustrative examples are also included.