A new family of six-point quadratic metric inequalities holds in all CAT(0) spaces and is not implied by four-point or five-point conditions.
Alexandrov meets Kirszbraun
1 Pith paper cite this work. Polarity classification is still indexing.
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Pith paper citing it
abstract
We give a simplified proof of the generalized Kirszbraun theorem for Alexandrov spaces, which is due to Lang and Schroeder. We also discuss related questions, both solved and open.
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math.MG 1years
2024 1verdicts
ACCEPT 1representative citing papers
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Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space
A new family of six-point quadratic metric inequalities holds in all CAT(0) spaces and is not implied by four-point or five-point conditions.