Fat Triangulations, Curvature and Quasiconformal Mappings
Fat Triangulations, Curvature and Quasiconformal Mappings
We investigate the interplay between the existence of fat triangulations, P L approximations of Lipschitz–Killing curvatures and the existence of quasiconformal mappings. In particular we prove that if there exists a quasiconformal mapping between two P L or smooth n-manifolds, then their Lipschitz–Killing curvatures are bilipschitz equivalent. An extension to …