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math.DG2010★ 4 cited
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Daniel Champion, Andrew Marchese, Jacob Miller +1
In [7], a notion of constant scalar curvature metrics on piecewise flat manifolds is defined. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper…
math.DG2010★ 4 cited
Regge's Einstein-Hilbert Functional on the Double Tetrahedron
Daniel Champion, David Glickenstein, Andrea Young
The double tetrahedron is the triangulation of the three-sphere gotten by gluing together two congruent tetrahedra along their boundaries. As a piecewise flat manifold, its geometr…