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arxiv: 1008.3318 · v3 · pith:5LQCXZX4new · submitted 2010-08-19 · 🧮 math.MG

Curvature bounded below: a definition a la Berg--Nikolaev

Nina Lebedeva , Anton Petrunin This is my paper
classification 🧮 math.MG
keywords curvaturealexandrovbelowberg--nikolaevboundedcharacterizationdefinitiongive
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We give a new characterization of spaces with nonnegative curvature in the sense of Alexandrov.

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  1. Nonlinear Lebesgue spaces: Curves and geometry

    math.DG 2026-03 unverdicted novelty 7.0

    A nonlinear Fubini-Lebesgue theorem identifies L^p curves in nonlinear Lebesgue spaces with maps into spaces of L^p curves, yielding pointwise length, curvature bounds, and speed for absolutely continuous curves.