Fokker-Planck dynamics and entropies for the normalized Ricci flow
Fokker-Planck dynamics and entropies for the normalized Ricci flow
We consider some elementary aspects of the geometry of the space of probability measures endowed with Wasserstein distance.In such a setting, we discuss the various terms entering Perelman's shrinker entropy and characterize two new monotonic functionals for the volumenormalized Ricci flow.One is obtained by a rescaling of the curvature term …