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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

2 votes
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Constructing an $n$-simplex at the border of a $n$-ball by orthogonal hyperplanes

I want to construct an $n$-simplex the following way: Choose $n$ vectors in the boundary of an $n$ dimensional ball, which are forming an $(n-1)$-simplex together. Place the orthogonal affine $n-1$- …