{"id":"W2902004506","doi":"10.5539/jmr.v10n6p80","title":"Riemannian Lie Subalgebroid","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Lie group; Submanifold; Scalar curvature; Fundamental theorem of Riemannian geometry; Riemannian manifold; Prescribed scalar curvature problem; Exponential map (Riemannian geometry); Connection (principal bundle); Curvature; Mathematical analysis; Sectional curvature; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002049621,0.0004200697,0.0003604899,0.0008086517,0.0009121908,0.0009115657,0.0004094929,0.0005034147,0.004408658],"category_scores_gemma":[0.0003989032,0.0001410167,0.000403021,0.0002996452,0.00108046,0.001301972,0.001432053,0.001011787,0.0008039553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006692666,"about_ca_system_score_gemma":0.0002388362,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007837554,"about_ca_topic_score_gemma":0.0004438434,"domain_scores_codex":[0.9996954,0.0000469436,0.00001239333,0.00008507192,0.000120935,0.00003927791],"domain_scores_gemma":[0.9997935,0.00002027077,0.00002994907,0.00002606008,0.00006641843,0.00006390578],"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":[0.00001563463,0.00001264561,0.0005793102,0.00004885597,0.00001133797,0.0004181424,0.0004561917,0.0008511773,0.008402954,0.9797459,0.001388613,0.008069171],"study_design_scores_gemma":[0.00001081508,0.000125688,0.004848016,0.00002933842,0.00002359601,0.003011003,0.0005461386,0.01550403,0.004862486,0.8948836,0.07612407,0.00003118737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.6718373,0.00316292,0.1190059,0.003180094,0.0005375938,0.00009092939,0.0004225908,0.0003423841,0.2014203],"genre_scores_gemma":[0.9498289,0.0007939246,0.01599597,0.000314342,0.000289705,0.0000407958,0.0002263971,0.00006441798,0.03244554],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.004408658,"threshold_uncertainty_score":0.01474845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1797970988366556,"score_gpt":0.465281726450059,"score_spread":0.2854846276134034,"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."}}