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Given positive integers $d$ and $n$ with $n \geq d+1$, the existence of a normal integral cyclic polytope of dimension $d$ with $n$ vertices is proved. In addition, we show that, for any integers $d \...
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Regge, Einstein-Hilbert, piecewise
2010/12/7
In [7], a notion of constant scalar curvature metrics on piecewise at manifolds is de ned. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper, we de ne a class of v...