{"id":"W2749242172","doi":"","title":"On Submanifolds of Almost r – Contact Structure Manifolds","year":2010,"lang":"en","type":"article","venue":"JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Manifold (fluid mechanics); Pure mathematics; Geodesic; Quarter (Canadian coin); Geometry; Physics; Combinatorics; Mathematical analysis","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":[0.0006295082,0.0001114398,0.0003741187,0.0003062219,0.00004286208,0.00002648006,0.0008445364,0.00008930884,0.0003828445],"category_scores_gemma":[0.0007075487,0.00006786514,0.0002967352,0.000472438,0.0001656483,0.0002871465,0.0000481269,0.0004837592,0.000002266532],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001603599,"about_ca_system_score_gemma":0.00004064451,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007276931,"about_ca_topic_score_gemma":0.00000377557,"domain_scores_codex":[0.9978426,0.00002896572,0.0005435559,0.0001251547,0.001335746,0.0001240332],"domain_scores_gemma":[0.9978938,0.0006644911,0.001068636,0.00005311047,0.0002464788,0.00007348171],"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":[0.00004977866,0.0004128775,0.002923647,0.00001790519,0.0001838205,0.000002019737,0.0002027589,0.0001093311,0.1772355,0.8152079,0.002006874,0.001647578],"study_design_scores_gemma":[0.0008944352,0.001219603,0.07293957,0.0001877537,0.000179609,0.00006747701,0.0003283929,0.00243466,0.1579826,0.7606363,0.002867525,0.0002620729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9956558,0.00001834032,0.0001085239,0.001110535,0.0002509642,0.00003630527,0.00001545207,0.00000259433,0.002801477],"genre_scores_gemma":[0.9978319,0.000006719758,0.001507165,0.00008366643,0.0004904105,2.558309e-7,3.896295e-7,0.00000433131,0.00007512265],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07001593,"threshold_uncertainty_score":0.4191879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02592111851466961,"score_gpt":0.3423652005281283,"score_spread":0.3164440820134587,"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."}}