Conformal anti-invariant -submersions
Abstract
As a generalization of anti-invariant -Riemannian submersions, we introduce conformal anti-invariant -submersions from almost contact metric manifolds onto Riemannian manifolds. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and find necessary and sufficient conditions for a conformal anti-invariant -submersion to be totally geodesic and harmonic, respectively. Moreover, we show that there are certain product structures on the total space of a conformal anti-invariant -submersion.
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