Recently solutions to the aggregation equation on compact Riemannian
Manifolds have been studied with different techniques. This work demonstrates
the small time existence of measure-valued solutions for suitably regular
intrinsic potentials. The main tool is the use of the minimizing movement
scheme which together with the optimality conditions yield a finite speed of
propagation. The main technical difficulty is non-differentiability of the
potential in the cut locus which is resolved via the propagation properties of
geodesic interpolations of the minimizing movement scheme and passes to the
limit as the time step goes to zero