  In this paper, we give a complete classification of torsion pairs in
m-cluster categories of type D when m is odd, denoted by CmDn, via a bijection
to combinatorial objects called Ptolemy diagrams of type D. As applications, we
classify m-rigid subcategories of CmDn, which gives Jacquet-Malo's
classification of m-cluster tilting subcategories of CmDn. When m = 1, we
generalizes the work of Holm, Jorgensen and Rubey for the classification of
torsion pairs in cluster categories of type Dn.
