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- Vertical_bundle abstract "In mathematics, the vertical bundle of a smooth fiber bundle is the subbundle of the tangent bundle that consists of all vectors that are tangent to the fibers.More precisely, if π : E → M is a smooth fiber bundle over a smooth manifold M and e ∈ E with π(e) = x ∈ M, then the vertical space VeE at e is the tangent space Te(Ex) to the fiber Ex containing e. That is, VeE = Te(Eπ(e)). The vertical space is therefore a vector subspace of TeE, and the union of the vertical spaces is a subbundle VE of TE: this is the vertical bundle of E.".
- Vertical_bundle wikiPageID "4067918".
- Vertical_bundle wikiPageLength "4156".
- Vertical_bundle wikiPageOutDegree "20".
- Vertical_bundle wikiPageRevisionID "701345434".
- Vertical_bundle wikiPageWikiLink Cartesian_product.
- Vertical_bundle wikiPageWikiLink Category:Connection_(mathematics).
- Vertical_bundle wikiPageWikiLink Category:Differential_topology.
- Vertical_bundle wikiPageWikiLink Category:Fiber_bundles.
- Vertical_bundle wikiPageWikiLink Differentiable_manifold.
- Vertical_bundle wikiPageWikiLink Ehresmann_connection.
- Vertical_bundle wikiPageWikiLink Fiber_bundle.
- Vertical_bundle wikiPageWikiLink Foundations_of_Differential_Geometry.
- Vertical_bundle wikiPageWikiLink Fundamental_vector_field.
- Vertical_bundle wikiPageWikiLink Horizontal_bundle.
- Vertical_bundle wikiPageWikiLink John_Wiley_&_Sons.
- Vertical_bundle wikiPageWikiLink Kernel_(linear_algebra).
- Vertical_bundle wikiPageWikiLink Manifold.
- Vertical_bundle wikiPageWikiLink Mathematics.
- Vertical_bundle wikiPageWikiLink Pushforward_(differential).
- Vertical_bundle wikiPageWikiLink Regular_subbundle.
- Vertical_bundle wikiPageWikiLink Subbundle.
- Vertical_bundle wikiPageWikiLink Tangent_bundle.
- Vertical_bundle wikiPageWikiLink Vertical_vector_field.
- Vertical_bundle wikiPageWikiLinkText "Vertical bundle".
- Vertical_bundle wikiPageWikiLinkText "vertical bundle".
- Vertical_bundle wikiPageWikiLinkText "vertical subspace".
- Vertical_bundle wikiPageWikiLinkText "vertical tangent bundle".
- Vertical_bundle wikiPageWikiLinkText "vertical vector".
- Vertical_bundle wikiPageWikiLinkText "vertical vectors".
- Vertical_bundle wikiPageWikiLinkText "vertical".
- Vertical_bundle wikiPageUsesTemplate Template:Citation.
- Vertical_bundle wikiPageUsesTemplate Template:Cite_book.
- Vertical_bundle wikiPageUsesTemplate Template:Differential-geometry-stub.
- Vertical_bundle wikiPageUsesTemplate Template:Mergefrom.
- Vertical_bundle wikiPageUsesTemplate Template:Reflist.
- Vertical_bundle subject Category:Connection_(mathematics).
- Vertical_bundle subject Category:Differential_topology.
- Vertical_bundle subject Category:Fiber_bundles.
- Vertical_bundle hypernym Subbundle.
- Vertical_bundle type Bundle.
- Vertical_bundle type Physic.
- Vertical_bundle comment "In mathematics, the vertical bundle of a smooth fiber bundle is the subbundle of the tangent bundle that consists of all vectors that are tangent to the fibers.More precisely, if π : E → M is a smooth fiber bundle over a smooth manifold M and e ∈ E with π(e) = x ∈ M, then the vertical space VeE at e is the tangent space Te(Ex) to the fiber Ex containing e. That is, VeE = Te(Eπ(e)).".
- Vertical_bundle label "Vertical bundle".
- Vertical_bundle sameAs Q7922821.
- Vertical_bundle sameAs m.0bgdyj.
- Vertical_bundle sameAs Q7922821.
- Vertical_bundle sameAs 铅直丛.
- Vertical_bundle wasDerivedFrom Vertical_bundle?oldid=701345434.
- Vertical_bundle isPrimaryTopicOf Vertical_bundle.