{"id":"W2741813458","doi":"10.1016/j.geomphys.2018.06.001","title":"Curvature-dimension bounds for Lorentzian splitting theorems","year":2018,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation of Sri Lanka; Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Singularity; Mathematics; Ricci curvature; Curvature; Rigidity (electromagnetism); Dimension (graph theory); Null (SQL); Riemann curvature tensor; Minimal surface; Mathematical analysis; Isolated singularity; Pure mathematics; Mathematical physics; Geometry; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003992335,0.002702921,0.001882985,0.007165472,0.003028815,0.003900171,0.003350126,0.002292702,0.01156365],"category_scores_gemma":[0.01441185,0.001026019,0.001850957,0.002405974,0.006857101,0.01258862,0.008495917,0.006192811,0.001226172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00275752,"about_ca_system_score_gemma":0.0007737461,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001523283,"about_ca_topic_score_gemma":0.0014261,"domain_scores_codex":[0.9983504,0.0004553271,0.00008760842,0.0003033798,0.0004931262,0.0003102424],"domain_scores_gemma":[0.9853811,0.00836423,0.00136903,0.001375644,0.001187907,0.002322017],"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":[0.0001597453,0.00005076774,0.001161237,0.0001084969,0.00002943613,0.0001319007,0.0003873643,0.001965782,0.00158885,0.9890333,0.001913551,0.003469514],"study_design_scores_gemma":[0.00002243657,0.00002725955,0.001146731,0.00002894589,0.00003254437,0.0001163167,0.000089547,0.01497662,0.0005619121,0.9817873,0.001179714,0.00003053921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6259813,0.005778467,0.1653449,0.01236445,0.0007130406,0.0001097284,0.00102632,0.001091209,0.1875906],"genre_scores_gemma":[0.9762661,0.001218177,0.0100711,0.0008115948,0.0007539291,0.00007053971,0.0004742476,0.0002425095,0.01009177],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01156365,"threshold_uncertainty_score":0.03868431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008947993276492249,"score_gpt":0.2588134327315942,"score_spread":0.2498654394551019,"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."}}