{"id":"W2070882445","doi":"10.48550/arxiv.0911.2037","title":"On long-time existence for the flow of static metrics with rotational symmetry","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Ricci flow; Mathematics; Flow (mathematics); Geometric flow; Singularity; Hypersphere; Mathematical physics; Mathematical analysis; Ricci curvature; Geometry; Curvature","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00103733,0.0005197771,0.000337082,0.001756896,0.001214677,0.001170952,0.0005116474,0.0008866937,0.002139131],"category_scores_gemma":[0.003749075,0.0003100371,0.0005091153,0.0004355612,0.002231293,0.002782168,0.001293261,0.0006422198,0.0002274928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001276294,"about_ca_system_score_gemma":0.0006009907,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001746849,"about_ca_topic_score_gemma":0.001272542,"domain_scores_codex":[0.9998154,0.00006960664,0.000009779682,0.00003208687,0.00003353999,0.00003966846],"domain_scores_gemma":[0.9991676,0.0001830838,0.0002308647,0.00007641895,0.0001603088,0.0001818494],"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":[0.00003783351,0.00001601263,0.00105422,0.00005364006,0.000008258103,0.0001361427,0.0001999237,0.006052083,0.003088615,0.9847045,0.0008795275,0.00376925],"study_design_scores_gemma":[0.00004700362,0.0001293299,0.004321503,0.00005029933,0.00001656784,0.0003305833,0.0001573949,0.1613191,0.001854421,0.8266964,0.005014731,0.00006280189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8391885,0.00155634,0.1347792,0.002057383,0.0001457839,0.00006959266,0.0001367427,0.00026486,0.0218016],"genre_scores_gemma":[0.9755377,0.0005917852,0.01714432,0.0001323897,0.0001584517,0.00004542823,0.0001959759,0.00006418154,0.006129663],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002139131,"threshold_uncertainty_score":0.009260237,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09090041222113059,"score_gpt":0.2201207300140549,"score_spread":0.1292203177929243,"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."}}