Conformal anti-invariant submersions from almost Hermitian manifolds

Abstract

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, 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. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.

arXiv comment41 pages, Submitted. arXiv admin note: text overlap with arXiv:1302.5108 by other authors