{"id":"openai-math/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces","pdf":"https://github.com/openai/math/blob/main/preprints/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026","tags":["metric-geometry","ricci-curvature","rcd-spaces"],"score":0,"title":"Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces","domain":"Differential geometry","family":"357","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"We resolve the regular-point bi-Lipschitz conjecture in the noncollapsed setting. For every integer n ≥ 2 and every real K , every regular point of a noncollapsed $`\\mathrm{RCD}(K,n)`$ space has an open neighborhood bi-Lipschitz homeomorphic to an open subset of ℝ n . The bi-Lipschitz constant depends only on n , and the neighborhood uses the restricted ambient distance.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-25","reactions":{},"formalized":false,"family_title":"Bi-Lipschitz coordinates at every regular RCD point"}