{"id":"W2952437328","doi":"10.48550/arxiv.math/0505083","title":"Conformal deformations of the smallest eigenvalue of the Ricci tensor","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci flow; Conformal map; Ricci curvature; Mathematical physics; Eigenvalues and eigenvectors; Tensor (intrinsic definition); Ricci decomposition; Weyl tensor; Mathematics; Conformal gravity; Mathematical analysis; Physics; Pure mathematics; Conformal field theory; Riemann curvature tensor; Geometry; Quantum mechanics","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":[0.0004021494,0.0006449054,0.000479897,0.0008738834,0.0008880639,0.001626314,0.0006007596,0.0007857659,0.002140359],"category_scores_gemma":[0.001483923,0.0002483885,0.0004420432,0.0004062843,0.002269706,0.001722358,0.001345243,0.0009066319,0.0002840658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008330882,"about_ca_system_score_gemma":0.0003848046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008318753,"about_ca_topic_score_gemma":0.0007380307,"domain_scores_codex":[0.9997737,0.00004514634,0.000009485667,0.00006144031,0.00005652314,0.00005373397],"domain_scores_gemma":[0.9995543,0.00007549924,0.0001351276,0.00006091138,0.00005544162,0.0001187263],"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":[0.00002499966,0.00001755857,0.0004939644,0.00003082213,0.00001158809,0.00017979,0.0001147817,0.01155827,0.007962759,0.9763675,0.0004525184,0.002785295],"study_design_scores_gemma":[0.00001718662,0.00005439046,0.001009762,0.00001417556,0.0000110296,0.0002416949,0.0001567513,0.09819774,0.00322623,0.8945435,0.00249193,0.00003548664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8160177,0.0007529865,0.1288589,0.001623146,0.0002243885,0.00006293451,0.0001389489,0.0001215274,0.05219939],"genre_scores_gemma":[0.9838408,0.000279301,0.008063892,0.00009805537,0.0001517934,0.00002579388,0.00006111136,0.00005113866,0.007428261],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002140359,"threshold_uncertainty_score":0.007160246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04308828330616813,"score_gpt":0.2943691124297002,"score_spread":0.251280829123532,"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."}}