Inonu University, Faculty of Science and Art, Department of Mathematics, 44280 Malatya,Turkey
Abstract:
We introduce holomorphic Riemannian maps between almost Hermitian manifolds as a generalization of holomorphic submanifolds and holomorphic submersions, give examples and obtain a geometric characterization of harmonic holomorphic Riemannian maps from almost Hermitian manifolds to Kähler manifolds.
Key words and phrases:Riemannian submersion, holomorphic submersion, holomorphic submanifold, holomorphic Riemannian map.