  Gazeau-Klauder coherent states in noncommutative quantum mechanics are
considered. We find that these states share similar properties to those of
ordinary canonical coherent states in the sense that they saturate the related
position uncertainty relation, obey a Poisson distribution and possess a flat
geometry. Using the natural isometry between the quantum Hilbert space of
Hilbert Schmidt operators and the tensor product of the classical configuration
space and its dual, we reveal the inherent vector feature of these states.
