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                <title xml:lang="en">Fried's theorem for boundary geometries of rank one symmetric spaces</title>
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              <p>After introducing the different boundary geometries of rank one symmetric spaces, we state and prove Fried's theorem in the general setting of all those geometries: a closed manifold with a similarity structure is either complete or the developing map is a covering onto the Heisenberg-type space deprived of a point.</p>
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