CLAIRAUT ANTI-INVARIANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS

Tastan H. M., Gerdan Aydın S.

HONAM MATHEMATICAL JOURNAL, cilt.41, sa.4, ss.707-724, 2019 (Hakemli Dergi) identifier

  • 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.