Conformal slant submersions
Abstract
As a generalization of conformal holomorphic submersions and conformal
anti-invariant submersions, we introduce a new conformal submersion from
almost Hermitian manifolds onto Riemannian manifolds, namely conformal
slant submersions. We give examples and find necessary and sufficient
conditions for such maps to be harmonic morphism. We also investigate
the geometry of foliations which are arisen from the definition of a
conformal submersion and obtain a decomposition theorem on the total
space of a conformal slant submersion. Moreover, we find necessary and
sufficient conditions of a conformal slant submersion to be totally
geodesic.
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