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In this paper we prove that a complete minimal surface immersed in H^2xR,with finite total curvature and two ends, each one asymptotic to a verticalgeodesic plane, must be a horizontal catenoid. Moreover, we give a geometricdescription of minimal ends of finite total curvature in H^2xR. We also provethat a minimal complete end E with finite total curvature is properly immersedand that the Gaussian curvature of E is locally bounded in terms of thegeodesic distance to its boundary.

Minimal ends in H2xR with finite total curvature and a Schoen type theorem