Anti-Invariant &#958 &#8869 -Riemannian Submersions fromAlmost Contact Manifolds

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

Anti-Invariant &#958 &#8869 -Riemannian Submersions fromAlmost Contact Manifolds

Abstract

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Keywords

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References

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