Alexandrov meets Kirszbraun
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
TL;DR
This paper provides a simplified proof of the generalized Kirszbraun theorem for Alexandrov spaces and discusses related open and solved questions in the field.
Contribution
It offers a more accessible proof of a key theorem in Alexandrov geometry and explores related unresolved problems.
Findings
Simplified proof of the generalized Kirszbraun theorem for Alexandrov spaces
Discussion of open questions in Alexandrov geometry
Clarification of related solved problems
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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Taxonomy
TopicsMathematics and Applications · Geometric and Algebraic Topology · Point processes and geometric inequalities