Anti-invariant Riemannian submersions from almost Hermitian manifolds |
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Authors: | Bayram ?ahin |
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Institution: | 1.Department of Mathematics,Inonu University,Malatya,Turkey |
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Abstract: | We introduce anti-invariant Riemannian submersions from almost Hermitian 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 such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant
Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions. |
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