{"id":"W2740802638","doi":"10.4153/cmb-2017-049-5","title":"Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Hypersurface; Grassmannian; Pure mathematics; Connection (principal bundle); Vector field; Lie derivative; Tensor field; Mathematical analysis; Lie group; Geometry; Exact solutions in general relativity; Adjoint representation of a Lie algebra","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0003340846,0.0005918759,0.0003704115,0.002952112,0.0008150891,0.001657609,0.0004499702,0.0006832291,0.002040429],"category_scores_gemma":[0.0005752125,0.0001953311,0.0002523311,0.001095268,0.00213528,0.001533313,0.0007834216,0.0007281125,0.0003277083],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001012696,"about_ca_system_score_gemma":0.0003029081,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001781882,"about_ca_topic_score_gemma":0.001489237,"domain_scores_codex":[0.9997737,0.00003761266,0.00001393211,0.00003857942,0.00009043975,0.00004568234],"domain_scores_gemma":[0.9996825,0.00002404996,0.00009090266,0.00002505788,0.00007607169,0.0001014143],"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":[0.00005220134,0.00003010129,0.002585374,0.00003637178,0.00001395101,0.0007370185,0.0007097946,0.002612353,0.01654449,0.9698997,0.001001318,0.005777346],"study_design_scores_gemma":[0.00003891227,0.00008568952,0.01191821,0.00004069082,0.00001243874,0.001828485,0.001042175,0.03026436,0.005238051,0.9407082,0.008751793,0.0000711227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9763567,0.0004567961,0.009111939,0.0005208889,0.00003847932,0.00002284861,0.000115156,0.00005811511,0.01331896],"genre_scores_gemma":[0.9922883,0.0001757386,0.0043108,0.00005390369,0.00003065914,0.000009460368,0.00008714906,0.00001718259,0.0030268],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002952112,"threshold_uncertainty_score":0.007347643,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04105759634265572,"score_gpt":0.3180963940933115,"score_spread":0.2770387977506558,"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."}}