2) "Metric perspectives of the Ricci flow applied to disjoint unions", joint with M. Munn, Analysis and Geometry in Metric Spaces 2, 282–293 (2014)

In this paper we consider compact, Riemannian manifolds M_1, M_2 each equipped with a oneparameter family of metrics g_1(t), g_2(t) satisfying the Ricci flow equation. Adopting the characterization of super-solutions to the Ricci flow developed by McCann-Topping, we define a super Ricci flow for a family of distance metrics de￿ned on the disjoint union M_1 U M_2 . In particular, we show such a super Ricci flow property holds provided the distance function between points in M_1 and M_2 is itself a super solution of the heat equation on M_1 × M_2 . We also discuss possible applications and examples.