  We suggest that low-mass compact objects (hadron stars, quark stars) with
$M<1 M_{\odot}$ can appear only due to fragmentation of rapidly rotating
proto-neutron stars. Such low-mass stars receive large kicks due to an
explosion of a lighter companion in a pair of fragments, or due to dynamical
ejection of one of the lighter components in the case when three bodies are
formed.
  As far as low-mass compact objects are expected to be slowly cooling in all
popular models of thermal evolution possible candidates are expected to be
found among hot high velocity sources.
