{"id":"W2003933203","doi":"10.1063/1.3215938","title":"A note of Sasakian metrics with constant scalar curvature","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"McGill University","keywords":"Scalar curvature; Constant (computer programming); Curvature; Constant curvature; Scalar (mathematics); Mathematics; Mathematical analysis; Physics; Mathematical physics; Geometry; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006431093,0.0002161505,0.0008018755,0.000144745,0.0000474073,0.00003276296,0.0003526066,0.0001035375,0.00007745573],"category_scores_gemma":[0.0006185248,0.0001401523,0.0002641215,0.0007890502,0.0001023479,0.0001923783,0.00003110317,0.000451849,0.0000101692],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003803833,"about_ca_system_score_gemma":0.00009570612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.362796e-7,"about_ca_topic_score_gemma":2.492878e-7,"domain_scores_codex":[0.9978913,0.00006310228,0.0008215956,0.0001156893,0.0008566965,0.0002515856],"domain_scores_gemma":[0.9973595,0.000744323,0.0008995517,0.0003395964,0.0004985122,0.0001585725],"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":[0.000160188,0.00176474,0.00006480941,0.0004564826,0.000183461,0.00008194779,0.0006476103,0.00003866455,0.002162999,0.9883736,0.001696448,0.004368988],"study_design_scores_gemma":[0.000797315,0.0009765895,0.0001401089,0.000466066,0.0002872839,0.0002440013,0.000152381,0.0005368718,0.004329422,0.9916694,0.0002199564,0.0001806621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.25609,0.0002010661,0.721331,0.001155462,0.0001183736,0.0003417173,0.00001543372,0.00004590995,0.02070107],"genre_scores_gemma":[0.8469018,0.000007904187,0.1527177,0.0001137533,0.0001631592,5.192926e-7,4.067957e-7,0.00001816185,0.00007660798],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5908118,"threshold_uncertainty_score":0.5715243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03669218225578418,"score_gpt":0.3047717043368191,"score_spread":0.2680795220810349,"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."}}