{"id":"W2060159877","doi":"10.4153/cmb-2015-006-0","title":"Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Torus; Minimal surface; Pure mathematics; Surface of revolution; Eigenvalues and eigenvectors; Operator (biology); Space (punctuation); Laplace operator; Laplace transform; Surface (topology); Mathematical analysis; Geometry","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":[0.0002867819,0.0003907361,0.0004529557,0.001899164,0.0008172215,0.001135924,0.0005107002,0.0004933698,0.001821319],"category_scores_gemma":[0.00117882,0.0002981159,0.0003537693,0.0004213224,0.001554494,0.0005643357,0.0006399149,0.0003309648,0.0001307391],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008566823,"about_ca_system_score_gemma":0.0002196556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001200296,"about_ca_topic_score_gemma":0.0007494025,"domain_scores_codex":[0.9998355,0.00003022521,0.000009141391,0.00003680518,0.00004854986,0.00003974533],"domain_scores_gemma":[0.9995596,0.00007504754,0.0001279665,0.00004081494,0.00006797343,0.0001286949],"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":[0.0004886032,0.0001011547,0.02211389,0.0001885968,0.0001007679,0.002668459,0.002709235,0.04721586,0.05740792,0.844874,0.003125515,0.01900605],"study_design_scores_gemma":[0.00008582249,0.000356703,0.06995068,0.0001236792,0.0000782201,0.003716119,0.002137923,0.5141624,0.01473922,0.3863995,0.00807052,0.0001792586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.988386,0.0001480671,0.007819182,0.00009864921,0.00001539687,0.000008924158,0.00005889686,0.00006889879,0.003395918],"genre_scores_gemma":[0.9980276,0.00003934086,0.001311605,0.000007444442,0.000008452683,0.000007103482,0.00005380535,0.00001601112,0.0005284585],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001899164,"threshold_uncertainty_score":0.006215692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06148201607367026,"score_gpt":0.2532134906377765,"score_spread":0.1917314745641063,"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."}}