Fat Triangulations, Curvature and Quasiconformal Mappings
AbstractWe 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 the case of almost Riemannian manifolds, of a previous existence result of quasimeromorphic mappings on manifolds due to the first author is also given.
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Saucan, E.; Katchalski, M. Fat Triangulations, Curvature and Quasiconformal Mappings. Axioms 2012, 1, 99-110.
Saucan E, Katchalski M. Fat Triangulations, Curvature and Quasiconformal Mappings. Axioms. 2012; 1(2):99-110.Chicago/Turabian Style
Saucan, Emil; Katchalski, Meir. 2012. "Fat Triangulations, Curvature and Quasiconformal Mappings." Axioms 1, no. 2: 99-110.