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We report a study of magnetism and magnetic transitions of hexagonal ErMnO3 single crystals by magnetization, specific heat and heat transport measurements. Magnetization data show that the c-axis magnetic field induces three magnetic transitions at 0.8, 12 and 28 T. The specific heat shows a peak at 2.2 K, which is due to a magnetic transition of Er 3+ moments. For low-T thermal conductivity (κ), a clear dip-like feature appears in κ(H) isotherm at 1-1.25 T for H ab; while in the case of H c, a step-like increase is observed at 0.5-0.8 T. The transition fields in κ(H) are in good agreement with those obtained from magnetization, and the anomaly of κ can be understood by a spin-phonon scattering scenario. The natures of magnetic structures and corresponding fieldinduced transitions at low temperatures are discussed.

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