Conformal anti-invariant submersions from almost Hermitian manifolds
Makaleler > Tam Makale · 2016
Yazarlar: Mehmet Akif Akyol, Bayram ŞAHİN
TURKISH JOURNAL OF MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2016, cilt 40, ss 43-70
DOI: 10.3906/mat-1408-20
Özet
We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arose from the definition of a conformal submersion, and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.