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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 wikiPageRevisionID "603947347".
- Vertical_bundle hasPhotoCollection Vertical_bundle.
- Vertical_bundle subject Category:Connection_(mathematics).
- Vertical_bundle subject Category:Differential_topology.
- Vertical_bundle subject Category:Fiber_bundles.
- Vertical_bundle type AnimalTissue105267548.
- Vertical_bundle type BodyPart105220461.
- Vertical_bundle type FiberBundle105475681.
- Vertical_bundle type FiberBundles.
- Vertical_bundle type NervousTissue105296775.
- Vertical_bundle type Part109385911.
- Vertical_bundle type PhysicalEntity100001930.
- Vertical_bundle type Thing100002452.
- Vertical_bundle type Tissue105267345.
- 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 label "铅直丛".
- Vertical_bundle sameAs m.0bgdyj.
- Vertical_bundle sameAs Q7922821.
- Vertical_bundle sameAs Q7922821.
- Vertical_bundle sameAs Vertical_bundle.
- Vertical_bundle wasDerivedFrom Vertical_bundle?oldid=603947347.
- Vertical_bundle isPrimaryTopicOf Vertical_bundle.