Curvature bounded below: a definition a la Berg--Nikolaev
Nina Lebedeva, Anton Petrunin
TL;DR
This paper introduces a new way to characterize spaces with nonnegative curvature in the Alexandrov sense, enhancing understanding of geometric properties in such spaces.
Contribution
It provides a novel characterization of Alexandrov spaces with nonnegative curvature, offering a new perspective and tools for their analysis.
Findings
New characterization of nonnegative curvature spaces
Enhanced understanding of Alexandrov geometry
Potential applications in geometric analysis
Abstract
We give a new characterization of spaces with nonnegative curvature in the sense of Alexandrov.
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