Anti-Invariant Riemanian Submersions from Nearly-K-Cosymplectic Manifolds

Ju Tan, Na Xu


In this paper, we introduce anti-invariant Riemannian submersions from nearly-K-cosymplectic manifolds onto Riemannian manifolds. We study the integrability of horizontal distributions. And we investigate the  necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. Moreover, we give examples of anti-invariant Riemannian submersions such that characteristic vector field $\xi$ is vertical or horizontal.

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