The Deformation Space of Geodesic Triangulations and Generalized Tuttes Embedding Theorem


الملخص بالإنكليزية

We proved the contractibility of the deformation space of the geodesic triangulations on a closed surface of negative curvature. This solves an open problem proposed by Connelly et al. in 1983, in the case of hyperbolic surfaces. The main part of the proof is a generalization of Tuttes embedding theorem for closed surfaces of negative curvature.

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