{"id":"W2963794041","doi":"10.4171/cmh/429","title":"Mean curvature in manifolds with Ricci curvature bounded from below","year":2018,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Ricci curvature; Scalar curvature; Curvature of Riemannian manifolds; Sectional curvature; Curvature; Bounded function; Riemann curvature tensor; Mean curvature; Mathematical analysis; Pure mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008731529,0.0007501299,0.001243668,0.0005141577,0.0003269067,0.0002875358,0.0009735917,0.000427284,0.003035789],"category_scores_gemma":[0.0003224132,0.0005602433,0.0002601903,0.002009297,0.0002703185,0.0003483973,0.000292144,0.0008902176,0.0003242058],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002803273,"about_ca_system_score_gemma":0.00008726148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006299021,"about_ca_topic_score_gemma":0.007244474,"domain_scores_codex":[0.9958662,0.000218025,0.001064496,0.0008515366,0.001062428,0.0009373239],"domain_scores_gemma":[0.9963901,0.00095744,0.0005378757,0.001552192,0.0002907579,0.000271611],"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":[0.001121454,0.01122676,0.04520399,0.001927317,0.006755792,0.0005942957,0.06371998,0.00002003867,0.001423154,0.4739951,0.3879752,0.006036995],"study_design_scores_gemma":[0.008071721,0.001438453,0.008778759,0.002026446,0.002836008,0.0001100268,0.008649944,0.004305596,0.003441925,0.865923,0.09126077,0.003157389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.934521,0.00166042,0.01664493,0.006015433,0.0006230199,0.001966395,0.0001252915,0.0004817344,0.03796172],"genre_scores_gemma":[0.930499,0.00003729876,0.06439759,0.002654666,0.0005196753,0.0001143581,0.0001446794,0.0001526478,0.001480092],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3919279,"threshold_uncertainty_score":0.9996849,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03405238418544643,"score_gpt":0.2920697360546651,"score_spread":0.2580173518692187,"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."}}