turkmath.org

From the undergraduate complex analysis courses we know that every holomorphic map between complex vector spaces (in fact they are trivial examples of Kaehler manifolds) is harmonic. This fact is generalized by many authors for maps between various types of manifolds with even dimensions (almost Hermitian manifolds) or odd dimensions (almost contact metric manifolds) under certain conditions. Our results cover almost all the cases and recover most of results obtained earlier.