Abstract
It is provided an overview of existed results concerning classification of contact metric, almost cosymplectic and almost Kenmotsu -manifolds. In the case of dimension three it is described in full details structure of contact metric or almost cosymplectic -spaces. The second part of the paper addresses three-dimensional paracontact metric and almost paracosymplectic -spaces. There is obtained local classification of paracontact metric -spaces, and almost paracosymplectic -spaces, for every possible value of .
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