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Euclidean filling inequalities in CAT(0) spaces

arXiv Mathematics · WORLD · Mathematics · 11/11/2026, 12:00:00 AM

arXiv:2611.13159v1 Announce Type: new Abstract: We clarify and streamline OpenAI's proof of the sharp Euclidean filling inequalities in CAT(0) spaces. We extend the result to complete spaces without assuming properness or compact support, and we establish rigidity in the equality case.

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