combinatorial riemann mapping theorem造句

The Combinatorial Riemann Mapping Theorem gives necessary and sufficient conditions for this to occur.
A 1994 paper of Cannon gave a proof of the " combinatorial Riemann mapping theorem " that was motivated by the classic Riemann mapping theorem in complex analysis.
For instance, the history graph is quasi-isometric to hyperbolic space exactly when the subdivision rule is "'conformal "', as described in the combinatorial Riemann mapping theorem.
The Combinatorial Riemann Mapping Theorem implies that a group G acts geometrically on \ mathbb { H } ^ 3 if and only if it is Gromov hyperbolic, it has a sphere at infinity, and the natural subdivision rule on the sphere gives rise to a sequence of tilings that is conformal in the sense above.
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