Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds onto Riemannian Manifolds

MURATHAN, CENGİZHAN; Erken, Irem

doi:10.2298/fil1507429m

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, Scopus)

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.