Address.
Motylowa 4/27, 91-360 Lodz, Poland
Abstract.
Using the fundamental notions of the quaternionic
analysis we show that there are no 4-dimensional almost Kaehler manifolds which are locally conformally flat with a metric of
a special form.
AMSclassification. 15A63, 15A66, 30G35, 30G99, 32A30, 53C10 - 53C40, 53C55.
Keywords. Almost K{\"a}hler manifold,
quaternionic analysis, regular function in the sense of
Fueter.