{"public_id":"cl_027c206df22ea546d51ee269b396e737","status":"active","superseded_by_public_id":null,"corpus_id":152112,"text":"The geometry also admits dual and symmetric d-connections, giving a total of four d-connections and twelve curvature tensors, three of which vanish identically.","confidence":0.97,"paper":{"corpus_id":152112,"title":"Geometry of Parallelizable Manifolds in the Context of Generalized Lagrange Spaces","url":"https://sah.borca.ai/papers/152112"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.97,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_06d520487956798f00754b669d507a41","name":"curvature tensors","description":"Tensorial measures of curvature associated with the various d-connections in the space.","types":["tensor"],"url":"https://sah.borca.ai/concepts/co_06d520487956798f00754b669d507a41"},{"public_id":"co_778c4f9cd871428811bc4b64288551d8","name":"dual d-connection","description":"One of the additional d-connections defined alongside the canonical and symmetric d-connections.","types":["connection"],"url":"https://sah.borca.ai/concepts/co_778c4f9cd871428811bc4b64288551d8"},{"public_id":"co_d2e3be919e34cbf1486ca481d4d0b60a","name":"symmetric d-connection","description":"One of the additional d-connections defined alongside the canonical and dual d-connections.","types":["connection"],"url":"https://sah.borca.ai/concepts/co_d2e3be919e34cbf1486ca481d4d0b60a"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_027c206df22ea546d51ee269b396e737"}