Volume Optimization, Normal Surfaces and Thurston’s Equation on Triangulated 3-Manifolds
نویسنده
چکیده
We establish a relationship among the normal surface theory, Thurston’s algebraic gluing equation for hyperbolic metrics and volume optimization of generalized angle structures on triangulated 3-manifolds. The main result shows that a critical point of the volume on generalized angle structures either produces a solution to Thurston’s gluing equation or a branched normal surfaces with at most two quadrilateral types.
منابع مشابه
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