{"id":"W2088928001","doi":"10.4153/cmb-2007-033-9","title":"Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Canadian Mathematical Society","keywords":"Mathematics; Quaternionic projective space; Projective test; Pure mathematics; Complex projective space; Type (biology); Jacobi operator; Complex space; Projective space; Operator (biology); Space (punctuation); Mathematical analysis; Jacobi polynomials; Computer science; Affine transformation; Chemistry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000836181,0.0002703319,0.0006938592,0.0005209497,0.0000756493,0.00004464305,0.0003211526,0.0002616504,0.01555499],"category_scores_gemma":[0.001254111,0.0002253548,0.000118266,0.001352102,0.000133276,0.00003635985,0.00004279253,0.0003316673,0.0004556697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002383303,"about_ca_system_score_gemma":0.0002664843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004252639,"about_ca_topic_score_gemma":0.01620839,"domain_scores_codex":[0.9979474,0.00007253215,0.0006377802,0.0003470557,0.0003993799,0.0005958643],"domain_scores_gemma":[0.9981807,0.0005009408,0.000163769,0.0004365991,0.0002829999,0.0004349198],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0003125655,0.001071016,0.01390391,0.00202611,0.0008802853,0.0005119046,0.02285151,0.00005000499,0.008944429,0.5411258,0.4056701,0.002652345],"study_design_scores_gemma":[0.008385285,0.001767716,0.06653835,0.001799762,0.001426719,0.0002781296,0.05205398,0.004420365,0.01890771,0.4079168,0.4304192,0.00608596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9674701,0.00008516178,0.0002736562,0.001711878,0.00005477266,0.0005209753,0.00008729035,0.00002646365,0.02976966],"genre_scores_gemma":[0.9827855,0.00001076229,0.01496899,0.0002838637,0.00005663383,0.000004538849,0.00001517392,0.00003920813,0.001835378],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1332089,"threshold_uncertainty_score":0.9853449,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0348619224317705,"score_gpt":0.2967887931032933,"score_spread":0.2619268706715228,"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."}}