  We introduce slant Riemannian maps from Riemannian manifolds to almost
Hermitian manifolds as a generalization of slant immersions, invariant
Riemannian maps and anti-invariant Riemannian maps. We give examples, obtain
characterizations and investigate the harmonicity of such maps. We also obtain
necessary and sufficient conditions for slant Riemannian maps to be totally
geodesic. Moreover we relate the notion of slant Riemannian maps to the notion
of pseudo horizontally weakly conformal maps which are useful for proving
various complex-analytic properties of stable harmonic maps from complex
projective space.
