{"id":"W4385655074","doi":"10.3390/sym15081553","title":"Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection","year":2023,"lang":"en","type":"article","venue":"Symmetry","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Princess Nourah Bint Abdulrahman University","keywords":"Tangent bundle; Metric connection; Connection (principal bundle); Mathematics; Metric (unit); Levi-Civita connection; Parallelizable manifold; Manifold (fluid mechanics); Tangent; Fundamental theorem of Riemannian geometry; Pure mathematics; Unit tangent bundle; Quarter (Canadian coin); Mathematical analysis; Topology (electrical circuits); Geometry; Combinatorics; Tangent space; Scalar curvature; Engineering","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000623686,0.0003242489,0.0003418206,0.001288474,0.0003605327,0.0001899864,0.0004788202,0.00009351198,0.0003659299],"category_scores_gemma":[0.0005225058,0.0002316426,0.0001179281,0.009325429,0.00002478847,0.0001742013,0.0001344808,0.0004583382,0.001175852],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000172818,"about_ca_system_score_gemma":0.00005662662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001074774,"about_ca_topic_score_gemma":0.0001695729,"domain_scores_codex":[0.9969686,0.0003396785,0.0003585956,0.0007236988,0.0008520041,0.0007574717],"domain_scores_gemma":[0.997259,0.001341787,0.0001799258,0.0006832794,0.0002001235,0.0003358827],"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":[0.007379758,0.01539005,0.2426637,0.0001329487,0.00830036,0.0002756823,0.008355005,0.0065976,0.01537877,0.2899407,0.1162508,0.2893346],"study_design_scores_gemma":[0.009041048,0.008662524,0.8846264,0.0004552553,0.0003410622,0.000001766177,0.01701279,0.01440136,0.04067003,0.01358623,0.008571723,0.002629757],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.986923,0.00003073701,0.001470347,0.001261347,0.0002977834,0.0008106556,0.0007753373,0.0002064852,0.008224241],"genre_scores_gemma":[0.9965103,0.00000245951,0.00005276921,0.000173262,0.0004160047,0.0001275093,0.0006402706,0.00006285063,0.002014536],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6419627,"threshold_uncertainty_score":0.9996018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03578279008797498,"score_gpt":0.3037678719703616,"score_spread":0.2679850818823867,"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."}}