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Results tagged with convex-geometry
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user 526813
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
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Busemann-Petty type problems on complex vector spaces [closed]
We recently published an article on Busemann-Petty type problems (see https://arxiv.org/abs/2404.05630). As we experienced several times that as soon as an article is published, no updates/corrections …
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Why are symmetric convex bodies with a smooth boundary and non-vanishing Gaussian curvature ...
You might want to have a look at section 2.5 of "R. Schneider: Convex Bodies: the Brunn-Minkowski theory" for some results on smooth convex bodies.
The condition of smooth boundary with non-vanishing …