Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds onto Riemannian Manifolds

MURATHAN C., Erken I. K.

FILOMAT, cilt.29, sa.7, ss.1429-1444, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 7
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1507429m
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1429-1444
  • Anahtar Kelimeler: Riemannian submersion, Cosymplectic manifold, Anti-invariant submersion, HERMITIAN-MANIFOLDS, SLANT SUBMERSIONS, FIELDS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field xi is vertical or horizontal. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.