{"id":"W246203224","doi":"","title":"STUDY OF SUBMANIFOLDS IMMERSED IN A MANIFOLD WITH QUARTER SYMMETRIC SEMI-METRIC CONNECTION","year":2004,"lang":"en","type":"article","venue":"Tensor. New series","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Mathematics; Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Mathematical analysis; Pure mathematics; Geometry; Topology (electrical circuits); Combinatorics; Fundamental theorem of Riemannian geometry; Engineering; Geography; Scalar curvature","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":[],"consensus_categories":[],"category_scores_codex":[0.00008611593,0.0001530495,0.0002650575,0.0002510451,0.0000528686,0.00001866029,0.0001103319,0.00004337369,0.0000441237],"category_scores_gemma":[0.00001546383,0.0001126595,0.00002351429,0.001776038,0.00005756408,0.0001295721,0.00002712239,0.00008641882,0.000009754365],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004420295,"about_ca_system_score_gemma":0.000007403914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001815952,"about_ca_topic_score_gemma":0.0001915342,"domain_scores_codex":[0.9991365,0.000009072533,0.0002335218,0.0001832631,0.0001814115,0.0002562208],"domain_scores_gemma":[0.9997127,0.00003261616,0.00003613043,0.0001369479,0.00002409042,0.00005748598],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.001678363,0.002083256,0.03709614,0.0006382599,0.0005279123,0.0003360161,0.01886659,0.4179556,0.01534602,0.4920255,0.000477104,0.01296927],"study_design_scores_gemma":[0.03129116,0.02275006,0.4151165,0.0006134978,0.0004206837,0.0002509732,0.27286,0.001187352,0.07070883,0.1747474,0.005315152,0.004738317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9929297,0.0001279596,0.001221916,0.00005255383,0.0001858863,0.0002332503,0.000002701858,0.00008992034,0.005156087],"genre_scores_gemma":[0.9993475,0.00007038064,0.0003923403,0.0000141776,0.00005476401,0.00001459045,0.000001020679,0.00001317036,0.00009206212],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4167683,"threshold_uncertainty_score":0.4594121,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006653425105193633,"score_gpt":0.2052955867359329,"score_spread":0.1986421616307393,"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."}}