We introduce anti-invariant ξ⊥ -Riemannian submersions from almostcontact manifolds onto Riemannian manifolds. We give an example,investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of suchsubmersions. We also find necessary and sufficient conditions for a special anti-invariant ξ⊥ -Riemannian submersion to be totally geodesic.Moreover, we obtain decomposition theorems for the total manifold ofsuch submersions.
Riemannian submersion Sasakian manifold Anti-invariant ξ⊥ -Riemannainsubmersion2000 AMS Classification:53C25 53C40 53C50
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Birincil Dil | Türkçe |
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Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Mart 2013 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 42 Sayı: 3 |