{"id":"openai-math/The-metric-Blaschke-theorem","pdf":"https://github.com/openai/math/blob/main/preprints/The-metric-Blaschke-theorem-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-metric-Blaschke-theorem-September-23-2026","tags":["riemannian-geometry","injectivity-radius","rank-one-symmetric-spaces"],"score":0,"title":"The metric Blaschke theorem","domain":"Differential geometry","family":"344","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"We prove the metric Blaschke conjecture: every connected closed smooth Riemannian manifold of positive dimension whose global injectivity radius equals its diameter is, up to scale, a standard compact rank-one symmetric space.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The metric Blaschke conjecture"}