{"id":"W4417272093","doi":"10.28924/2291-8639-23-2025-325","title":"A Study on ϕ-Ricci Symmetric LP-Sasakian Manifolds","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Riemann curvature tensor; Symmetry (geometry); Curvature; Ricci curvature; Curvature of Riemannian manifolds; Tensor (intrinsic definition); Class (philosophy); Construct (python library)","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":[0.0002923364,0.0007112205,0.0004145735,0.001085048,0.0009212085,0.000783706,0.0005701641,0.0006079293,0.00367193],"category_scores_gemma":[0.0007229759,0.0001858848,0.0004970199,0.000599609,0.001324983,0.001652912,0.0007954297,0.0007868531,0.0005283023],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005406195,"about_ca_system_score_gemma":0.0003812597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001152745,"about_ca_topic_score_gemma":0.0005138434,"domain_scores_codex":[0.9998391,0.00004038712,0.000007541794,0.00004193674,0.00004684167,0.0000241907],"domain_scores_gemma":[0.9997688,0.00003976251,0.00005660038,0.00003326156,0.00006021753,0.00004136942],"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":[0.00001174675,0.00001521007,0.0006880381,0.0000881508,0.0000092133,0.0003467376,0.0002899575,0.007429104,0.005947193,0.9792028,0.0006785236,0.00529335],"study_design_scores_gemma":[0.000009890491,0.0001689571,0.002770426,0.00004970072,0.00002277217,0.001323239,0.0005433995,0.1242824,0.004975685,0.8441135,0.02169808,0.00004191112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6741539,0.004810297,0.2302324,0.001324618,0.0002015163,0.00009226758,0.0002581716,0.0002052797,0.08872148],"genre_scores_gemma":[0.958967,0.00220793,0.02374375,0.0001316927,0.0002165703,0.00004607593,0.0001894749,0.00004899876,0.01444846],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00367193,"threshold_uncertainty_score":0.01228386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01997860287297787,"score_gpt":0.3447412761584836,"score_spread":0.3247626732855057,"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."}}