SOME CONNECTION CLASS ON A HYPERBOLIC KAEHLERIAN SPACE Nevena Pu\v{s}i\'c 1991 Math. Subject Classification: 53B35, 53B60. Key words: Special semi-symmetric connection, hyperbolic Kaehlerian space. Abstract: We consider a special semi-symmetric connection on a hyperbolic Kaehlerian space. We find conditions for such a connection to be of zero curvature; then, we find conditions for the curvature tensor of such a connection to be of special form.