{"id":"W2207345280","doi":"","title":"SOME NEW RESULTS ON PARA-SASAKIAN MANIFOLD WITH A QUATER-SYMMETRIC METRIC CONNECTION","year":2015,"lang":"en","type":"article","venue":"Facta Universitatis, Series: Mathematics and Informatics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Manifold (fluid mechanics); Bar (unit); Mathematics; Metric (unit); Combinatorics; Pure mathematics; Quarter (Canadian coin); Mathematical analysis; Geometry; Topology (electrical circuits); Physics; Fundamental theorem of Riemannian geometry; Engineering; Geography","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007443634,0.0004842372,0.0007739541,0.001467689,0.0002431338,0.0003068944,0.0003489213,0.0002193484,0.00004397117],"category_scores_gemma":[0.001098048,0.0003727262,0.0001215491,0.002590155,0.00007288509,0.001667199,0.0001282684,0.0003280915,0.0001093377],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001906649,"about_ca_system_score_gemma":0.0001745027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008159266,"about_ca_topic_score_gemma":0.00005498002,"domain_scores_codex":[0.9973172,0.0000450728,0.00095869,0.0002659127,0.0009283478,0.0004848112],"domain_scores_gemma":[0.9969269,0.0006887169,0.0008724567,0.0006396102,0.0003473421,0.000524956],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","study_design_scores_codex":[0.0006533879,0.0006415338,0.0001768613,0.001029113,0.001056755,0.00005721092,0.04572744,0.0003162988,0.000008470991,0.8580413,0.08755941,0.004732209],"study_design_scores_gemma":[0.02459261,0.01325315,0.001228251,0.0014222,0.003243897,0.0006465698,0.3995266,0.05040684,0.000714194,0.3683215,0.1317297,0.004914473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7144596,0.0007827605,0.1533765,0.003191472,0.0009174375,0.003238558,0.0005152127,0.001000159,0.1225183],"genre_scores_gemma":[0.5887207,0.0007216675,0.3962601,0.0004832608,0.0002918979,0.00001487404,0.0002404942,0.0001372561,0.0131297],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4897197,"threshold_uncertainty_score":0.9998724,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04618027406007618,"score_gpt":0.2508643524484373,"score_spread":0.2046840783883611,"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."}}