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For    d  ⩽  4   , we describe an elementary construction of nonzero degree, strict contractions between closed, oriented hyperbolic   d  ‐orbifolds. Appealing to work of Guéritaud–Kassel and Tholozan, these examples determine exotic quotients ofSO  0    (  d  ,  1  )    .

Strict contractions and exotic SO 0 ( d , 1 ) quotients