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- W1484004393 abstract "We study the differential geometric consequences of our previous result on the existence of fat triangulations, in conjunction with a result of Cheeger, Muller and Schrader, regarding the convergence of Lipschitz-Killing curvatures of piecewise-flat approximations of smooth Riemannian manifolds. A further application to the existence of quasiconformal mappings between manifolds, as well as an extension of the triangulation result to the case of almost Riemannian manifolds, are also given. In addition, the notion of fatness of triangulations and its relation to metric curvature and to excess is explored. Moreover, applications of the main results, and in particular a purely metric approach to Regge calculus, are also investigated." @default.
- W1484004393 created "2016-06-24" @default.
- W1484004393 creator A5082683740 @default.
- W1484004393 date "2011-08-17" @default.
- W1484004393 modified "2023-09-27" @default.
- W1484004393 title "Fat Triangulations and Differential Geometry" @default.
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