Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

Tastan, HAKAN; Gerdan, SİBEL

doi:10.1007/s00009-017-1028-1

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, Scopus)

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.