Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds
Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds
A piecewise flat manifold is a triangulated manifold given a geometry by specifying edge lengths (lengths of 1-simplices) and specifying that all simplices are Euclidean. We consider the variation of angles of piecewise flat manifolds as the geometry varies in a particular way, which we call a conformal variation. This …