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- Metric_connection abstract "In mathematics, a metric connection is a connection in a vector bundle E equipped with a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. Other common equivalent formulations of a metric connection include: A connection for which the covariant derivatives of the metric on E vanish. A principal connection on the bundle of orthonormal frames of E.A special case of a metric connection is the Levi-Civita connection. Here the bundle E is the tangent bundle of a manifold. In addition to being a metric connection, the Levi-Civita connection is required to be torsion free.".
- Metric_connection wikiPageExternalLink 1103858479.
- Metric_connection wikiPageID "4794503".
- Metric_connection wikiPageRevisionID "544352174".
- Metric_connection hasPhotoCollection Metric_connection.
- Metric_connection subject Category:Connection_(mathematics).
- Metric_connection subject Category:Riemannian_geometry.
- Metric_connection comment "In mathematics, a metric connection is a connection in a vector bundle E equipped with a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. Other common equivalent formulations of a metric connection include: A connection for which the covariant derivatives of the metric on E vanish.".
- Metric_connection label "Metric connection".
- Metric_connection label "Metrischer Zusammenhang".
- Metric_connection label "Метрическая связность".
- Metric_connection sameAs Metrischer_Zusammenhang.
- Metric_connection sameAs m.0cnmvn.
- Metric_connection sameAs Q788494.
- Metric_connection sameAs Q788494.
- Metric_connection wasDerivedFrom Metric_connection?oldid=544352174.
- Metric_connection isPrimaryTopicOf Metric_connection.