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The conformal infinity of a quaternionic-Kähler metric on a -manifold with boundary is a codimension distribution on the boundary called quaternionic contact. In dimensions greater than , a quaternionic contact structure is always the conformal infinity of a quaternionic-Kähler metric. On the contrary, in dimension , we prove a criterion for quaternionic contact structures to be the conformal infinity of a quaternionic-Kähler metric. This allows us to find the quaternionic-contact structures...
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