  The effective action in four dimensions resulting from the ten-dimensional
N=1 heterotic supergravity coupled to N=1 supersymmetric Yang-Mills upon
dimensional reduction over nearly-Kaehler manifolds is discussed.
Nearly-Kaehler manifolds are an interesting class of manifolds admitting an
SU(3)-structure and in six dimensions all homogeneous nearly-Kaehler manifolds
are included in the class of the corresponding non-symmetric coset spaces plus
a group manifold. Therefore it is natural to apply the Coset Space Dimensional
Reduction scheme using these coset spaces as internal manifolds in order to
determine the four-dimensional theory.
