%0 Journal Article
%T Fat Triangulations, Curvature and Quasiconformal Mappings
%A Emil Saucan
%A Meir Katchalski
%J Axioms
%D 2012
%I MDPI AG
%R 10.3390/axioms1020099
%X We investigate the interplay between£¿the existence of fat triangulations, P L approximations of Lipschitz¨CKilling 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¨CKilling curvatures are bilipschitz equivalent. An extension£¿to the case of almost Riemannian manifolds, of a previous existence result of quasimeromorphic mappings on manifolds due to the first author is also given.
%K fat triangulation
%K Lipschitz¨CKilling curvatures
%K quasimeromorphic mapping
%U http://www.mdpi.com/2075-1680/1/2/99