The Generalized Tilt Formula
نویسندگان
چکیده
A convex hull consmaction in Minkowski space defines a canonical cell decomposition for a cusped hyperbolic n-manifold. An algorithm to compute the canonical cell decomposition uses the concept of the 'tilt' of an n-simplex relative to each of its (n 1)-dimensional faces. An essential tool for computing tilts is the tilt theorem. The tilt theorem was previously known only in dimensions n < 3, and the proof was needlessly complicated. Here we offer a new, simplified proof which applies in all dimensions. We also offer a second geometric interpretation of the tilt. Mathematics Subject Classifications (1991): Primary: 51M10; secondary: 51M09, 57M50o
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تاریخ انتشار 2005