Publication: Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds
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Murathan, Cengizhan
Erken, Irem Kupeli
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Univ NIS
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Abstract
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field xi is vertical or horizontal. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.
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Keywords
Anti-invariant submersion, Cosymplectic manifold, Riemannian submersion, Mathematics, Hermitian-manifolds, Slant submersions, Fields
Citation
Murathan, C. vd. (2015). "Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds". Filomat, 29(7), 1429-1444.