Induced metric

id: induced-metric-276-18537669
title: Induced metric
text: In mathematics and theoretical physics, the induced metric is the metric tensor defined on a submanifold that is induced from the metric tensor on a manifold into which the submanifold is embedded, through the pullback. It may be determined using the following formula, which is the component form of the pullback operation: Here a , b describe the indices of coordinates ξ a of the submanifold while the functions X μ encode the embedding into the higher-dimensional manifold whose tangent indices a
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Induced_metric
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date modified: 2023-10-19T03:49:27Z
main entity: {"identifier":"Q3855711","url":"https://www.wikidata.org/entity/Q3855711"}
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