{"id":"W4397001137","doi":"10.1090/tran/9100","title":"Almost isotropy-maximal manifolds of non-negative curvature","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fields Institute for Research in Mathematical Sciences; National Security Agency; Max-Planck-Institut für Mathematik in den Naturwissenschaften; Simons Foundation; National Science Foundation","keywords":"Mathematics; Isotropy; Curvature; Pure mathematics; Negative curvature; Mathematical analysis; Geometry; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000298688,0.0005955975,0.0003381511,0.00164455,0.0008901623,0.001094878,0.0004895526,0.000371829,0.00218712],"category_scores_gemma":[0.001407487,0.0002345744,0.0004330162,0.0006553867,0.001871532,0.002202133,0.001897369,0.0007781712,0.0002626968],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000577772,"about_ca_system_score_gemma":0.0002731289,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007971814,"about_ca_topic_score_gemma":0.0006907188,"domain_scores_codex":[0.9995869,0.00005622327,0.00002671791,0.0001180343,0.0001424123,0.00006978266],"domain_scores_gemma":[0.9992383,0.0001466744,0.0002119818,0.0001212815,0.0001207808,0.000161021],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003367181,0.00001806428,0.003336093,0.00005836183,0.00001323855,0.000391526,0.0006308941,0.002018318,0.004729214,0.9790897,0.0008604833,0.008820366],"study_design_scores_gemma":[0.00001874029,0.000109488,0.008065576,0.00003279864,0.00003699422,0.001440069,0.000592424,0.01852811,0.007159629,0.9510626,0.01292275,0.00003076047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9046185,0.0003424837,0.06122532,0.000376637,0.00006774322,0.00003384073,0.000163114,0.0001455687,0.03302686],"genre_scores_gemma":[0.9898232,0.0001715298,0.005700152,0.000046495,0.00006195383,0.00001790198,0.0002145184,0.00002364675,0.0039406],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00218712,"threshold_uncertainty_score":0.007316709,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01640698493779669,"score_gpt":0.2901920307153878,"score_spread":0.2737850457775912,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}