{"id":"W4285263547","doi":"10.55730/1300-0098.3271","title":"On properties of the Reeb vector field of $(\\alpha,\\beta)$ trans-Sasakian structure","year":2022,"lang":"en","type":"article","venue":"TURKISH JOURNAL OF MATHEMATICS","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Submanifold; Vector field; Geodesic; Unit tangent bundle; Riemannian manifold; Pure mathematics; Mathematical analysis; Normal bundle; BETA (programming language); Tangent bundle; Manifold (fluid mechanics); Vector bundle; Tangent space; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000954751,0.0001903661,0.0007457117,0.0002417282,0.0001237632,0.00001884914,0.000792625,0.00008246178,0.0007899774],"category_scores_gemma":[0.0008713509,0.0001087917,0.0005462885,0.0007408757,0.0000657931,0.00007386167,0.00009707316,0.000649777,5.60669e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004586774,"about_ca_system_score_gemma":0.0001042832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004971087,"about_ca_topic_score_gemma":0.000007664292,"domain_scores_codex":[0.9971899,0.0001680872,0.001150598,0.00010653,0.001204158,0.0001807252],"domain_scores_gemma":[0.9970654,0.0004902662,0.00160129,0.0004882894,0.0002980569,0.00005665136],"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":[0.001725876,0.01513975,0.003081958,0.0152623,0.009752037,0.0001694674,0.1168094,0.009401126,0.2280969,0.4136311,0.1726025,0.01432753],"study_design_scores_gemma":[0.005392979,0.005183689,0.001578374,0.003252908,0.004508582,0.001189818,0.03188954,0.00227992,0.4143681,0.5215514,0.007419356,0.001385338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9964196,0.0005969422,0.0009265957,0.0008179399,0.0003245025,0.0002166124,0.00003544475,0.000007424179,0.0006549478],"genre_scores_gemma":[0.9958211,0.00001628605,0.003626882,0.0001019487,0.00007796337,0.000002483893,5.652806e-7,0.00002574879,0.0003270662],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1862712,"threshold_uncertainty_score":0.8649699,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03027444721582531,"score_gpt":0.2583308629845247,"score_spread":0.2280564157686994,"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."}}