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- Metric_(vector_bundle) abstract "In differential geometry, the notion of a metric tensor can be extended to an arbitrary vector bundle. Specifically, if M is a topological manifold and E → M a vector bundle on M, then a metric (sometimes called a bundle metric, or fibre metric) on E is a bundle map g : E ×M E → M × R from the fiber product of E with itself to the trivial bundle with fiber R such that the restriction of g to each fibre over M is a nondegenerate bilinear map of vector spaces.".
- Metric_(vector_bundle) wikiPageID "10708102".
- Metric_(vector_bundle) wikiPageLength "1059".
- Metric_(vector_bundle) wikiPageOutDegree "11".
- Metric_(vector_bundle) wikiPageRevisionID "645805313".
- Metric_(vector_bundle) wikiPageWikiLink Bilinear_map.
- Metric_(vector_bundle) wikiPageWikiLink Bundle_map.
- Metric_(vector_bundle) wikiPageWikiLink Category:Differential_geometry.
- Metric_(vector_bundle) wikiPageWikiLink Degeneracy_(mathematics).
- Metric_(vector_bundle) wikiPageWikiLink Differential_geometry.
- Metric_(vector_bundle) wikiPageWikiLink Fiber_bundle.
- Metric_(vector_bundle) wikiPageWikiLink Fiber_product.
- Metric_(vector_bundle) wikiPageWikiLink Metric_tensor.
- Metric_(vector_bundle) wikiPageWikiLink Nondegenerate.
- Metric_(vector_bundle) wikiPageWikiLink Pullback_(category_theory).
- Metric_(vector_bundle) wikiPageWikiLink Topological_manifold.
- Metric_(vector_bundle) wikiPageWikiLink Trivial_bundle.
- Metric_(vector_bundle) wikiPageWikiLink Vector_bundle.
- Metric_(vector_bundle) wikiPageWikiLink Vector_space.
- Metric_(vector_bundle) wikiPageWikiLink Vector_spaces.
- Metric_(vector_bundle) wikiPageWikiLinkText "metric (vector bundle)".
- Metric_(vector_bundle) wikiPageWikiLinkText "metric".
- Metric_(vector_bundle) wikiPageWikiLinkText "vector bundle metric".
- Metric_(vector_bundle) hasPhotoCollection Metric_(vector_bundle).
- Metric_(vector_bundle) wikiPageUsesTemplate Template:Differential-geometry-stub.
- Metric_(vector_bundle) wikiPageUsesTemplate Template:Reflist.
- Metric_(vector_bundle) subject Category:Differential_geometry.
- Metric_(vector_bundle) comment "In differential geometry, the notion of a metric tensor can be extended to an arbitrary vector bundle. Specifically, if M is a topological manifold and E → M a vector bundle on M, then a metric (sometimes called a bundle metric, or fibre metric) on E is a bundle map g : E ×M E → M × R from the fiber product of E with itself to the trivial bundle with fiber R such that the restriction of g to each fibre over M is a nondegenerate bilinear map of vector spaces.".
- Metric_(vector_bundle) label "Metric (vector bundle)".
- Metric_(vector_bundle) sameAs Métrique_pseudo-riemannienne.
- Metric_(vector_bundle) sameAs m.02qmvx3.
- Metric_(vector_bundle) sameAs Q3333768.
- Metric_(vector_bundle) sameAs Q3333768.
- Metric_(vector_bundle) wasDerivedFrom Metric_(vector_bundle)?oldid=645805313.
- Metric_(vector_bundle) isPrimaryTopicOf Metric_(vector_bundle).