论文信息 - 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 the case of almost Riemannian manifolds, of a previous existence result of quasimeromorphic mappings on manifolds due to the first author is also given.

Emil Saucan | Meir Katchalski | M. Katchalski | Emil Saucan

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