Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds

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Hacettepe Journal of Mathematics and Statistics
Volume:42 Issue:3
Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds

Anti-Invariant ξ ⊥ -Riemannian Submersions fromAlmost Contact Manifolds

Authors : Jae Won LEE

Pages : 231-241

View : 51 | Download : 12

Publication Date : 2013-03-01

Article Type : Other Papers

Abstract :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.
Keywords : Riemannian submersion, Sasakian manifold, Anti invariant ξ⊥ Riemannainsubmersion2000 AMS Classification 53C25, 53C40, 53C50

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