{"id":"W4294611840","doi":"10.4171/jncg/472","title":"Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure","year":2022,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Covariant transformation; Covariant derivative; Eigenfunction; Sectional curvature; Conjecture; Pure mathematics; Scalar (mathematics); Laplace operator; Vertex (graph theory); Eigenvalues and eigenvectors; Scalar curvature; Algebraic number; Mathematical analysis; Curvature; Mathematical physics; Combinatorics; Geometry; Graph; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007967254,0.0005834178,0.0003686785,0.001665829,0.000984406,0.001722264,0.0007723615,0.000926968,0.00250143],"category_scores_gemma":[0.002413691,0.0002741045,0.0005884245,0.001122935,0.002684481,0.003353794,0.001215092,0.001268218,0.0003371683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009360153,"about_ca_system_score_gemma":0.0005829937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001182682,"about_ca_topic_score_gemma":0.001000057,"domain_scores_codex":[0.9996754,0.00008312723,0.00001708588,0.00005222617,0.0001180566,0.00005413222],"domain_scores_gemma":[0.9990028,0.0001979484,0.0002683628,0.0001207938,0.0001765233,0.000233704],"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":[0.0000178461,0.00001541893,0.0003823561,0.00001520606,0.000004763188,0.0001408919,0.0001595806,0.002242517,0.001846069,0.9931757,0.0003382416,0.001661451],"study_design_scores_gemma":[0.000008754669,0.00003352006,0.0006346038,0.000008338044,0.000005571895,0.0002265058,0.0001151776,0.02277383,0.001021865,0.9737909,0.001363526,0.00001737783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.847353,0.0008305797,0.1163151,0.002308663,0.0002519496,0.0000236779,0.0001187453,0.0001607223,0.03263756],"genre_scores_gemma":[0.986553,0.000375943,0.006206536,0.0000971304,0.0001671629,0.00000916327,0.00005692907,0.00003865066,0.006495486],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00250143,"threshold_uncertainty_score":0.008368134,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01559203149676393,"score_gpt":0.2706285094879919,"score_spread":0.255036477991228,"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."}}