Slant Riemannian maps from almost Hermitian manifolds

Abstract

As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples, obtain the existence conditions of slant Riemannian maps and investigate harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian maps to be totally geodesic and give a decomposition theorem for the total manifold.

To appear in Quaestiones Mathematicae, 14 pages. arXiv admin note: text overlap with arXiv:1006.0081, arXiv:1206.3393

References in corpus (2)

• Slant submersions from almost Hermitian manifolds
• Riemannian submersions from almost contact metric manifolds