CLAIRAUT ANTI-INVARIANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS
HONAM MATHEMATICAL JOURNAL, cilt.41, sa.4, ss.707-724, 2019 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.5831/hmj.2019.41.4.707
- Dergi Adı: HONAM MATHEMATICAL JOURNAL
- Sayfa Sayıları: ss.707-724
- Anahtar Kelimeler: Riemannian submersion, anti-invariant submersion, Lagrangian submersion, Clairaut submersion, cosymplectic manifold, RIEMANNIAN SUBMERSIONS
- İstanbul Üniversitesi Adresli: Evet
Özet
We investigate the new Clairaut conditions for antiinvariant submersions whose total manifolds are cosymplectic. In particular, we prove the fibers of a proper Clairaut Lagrangian submersion admitting horizontal Reeb vector field are one dimensional and classify such submersions. We also check the existence of the proper Clairaut anti-invariant submersions in the case of the Reeb vector field is vertical. Moreover, illustrative examples for both trivial and proper Clairaut anti-invariant submersions are given.