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- Frame_bundle abstract "In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change of basis, giving the frame bundle the structure of a principal GL(k, R)-bundle (where k is the rank of E).The frame bundle of a smooth manifold is the one associated to its tangent bundle. For this reason it is sometimes called the tangent frame bundle.".
- Frame_bundle wikiPageID "366550".
- Frame_bundle wikiPageLength "13838".
- Frame_bundle wikiPageOutDegree "80".
- Frame_bundle wikiPageRevisionID "662636951".
- Frame_bundle wikiPageWikiLink Almost_complex_manifold.
- Frame_bundle wikiPageWikiLink Associated_bundle.
- Frame_bundle wikiPageWikiLink Atlas_(topology).
- Frame_bundle wikiPageWikiLink Basis_(linear_algebra).
- Frame_bundle wikiPageWikiLink Bundle_map.
- Frame_bundle wikiPageWikiLink Category:Fiber_bundles.
- Frame_bundle wikiPageWikiLink Category:Vector_bundles.
- Frame_bundle wikiPageWikiLink Change_of_basis.
- Frame_bundle wikiPageWikiLink Closed_and_exact_differential_forms.
- Frame_bundle wikiPageWikiLink Complex_manifold.
- Frame_bundle wikiPageWikiLink Degenerate_bilinear_form.
- Frame_bundle wikiPageWikiLink Differentiable_manifold.
- Frame_bundle wikiPageWikiLink Disjoint_union.
- Frame_bundle wikiPageWikiLink Dual_bundle.
- Frame_bundle wikiPageWikiLink Dual_representation.
- Frame_bundle wikiPageWikiLink Equivalence_relation.
- Frame_bundle wikiPageWikiLink Equivariant_map.
- Frame_bundle wikiPageWikiLink Euclidean_distance.
- Frame_bundle wikiPageWikiLink Fiber_bundle.
- Frame_bundle wikiPageWikiLink Fiber_bundle_construction_theorem.
- Frame_bundle wikiPageWikiLink Final_topology.
- Frame_bundle wikiPageWikiLink Foundations_of_Differential_Geometry.
- Frame_bundle wikiPageWikiLink Function_composition.
- Frame_bundle wikiPageWikiLink G-structure.
- Frame_bundle wikiPageWikiLink General_linear_group.
- Frame_bundle wikiPageWikiLink Group_action.
- Frame_bundle wikiPageWikiLink Homeomorphism.
- Frame_bundle wikiPageWikiLink Identity_function.
- Frame_bundle wikiPageWikiLink Inner_product_space.
- Frame_bundle wikiPageWikiLink Integrability_conditions_for_differential_systems.
- Frame_bundle wikiPageWikiLink Isometry.
- Frame_bundle wikiPageWikiLink John_Wiley_&_Sons.
- Frame_bundle wikiPageWikiLink Lie_group.
- Frame_bundle wikiPageWikiLink Linear_map.
- Frame_bundle wikiPageWikiLink Mathematics.
- Frame_bundle wikiPageWikiLink Metric_(vector_bundle).
- Frame_bundle wikiPageWikiLink Moving_frame.
- Frame_bundle wikiPageWikiLink Natural_transformation.
- Frame_bundle wikiPageWikiLink Orientability.
- Frame_bundle wikiPageWikiLink Orthogonal_group.
- Frame_bundle wikiPageWikiLink Orthonormal_basis.
- Frame_bundle wikiPageWikiLink Orthonormal_frame.
- Frame_bundle wikiPageWikiLink Parallelizable_manifold.
- Frame_bundle wikiPageWikiLink Principal_bundle.
- Frame_bundle wikiPageWikiLink Principal_homogeneous_space.
- Frame_bundle wikiPageWikiLink Pushforward_(differential).
- Frame_bundle wikiPageWikiLink Reduction_of_the_structure_group.
- Frame_bundle wikiPageWikiLink Representation_theory.
- Frame_bundle wikiPageWikiLink Riemannian_manifold.
- Frame_bundle wikiPageWikiLink Section_(fiber_bundle).
- Frame_bundle wikiPageWikiLink Solder_form.
- Frame_bundle wikiPageWikiLink Subbundle.
- Frame_bundle wikiPageWikiLink Symplectic_manifold.
- Frame_bundle wikiPageWikiLink Tangent_bundle.
- Frame_bundle wikiPageWikiLink Tautological_one-form.
- Frame_bundle wikiPageWikiLink Tensor_product_of_modules.
- Frame_bundle wikiPageWikiLink Topological_space.
- Frame_bundle wikiPageWikiLink Two-form.
- Frame_bundle wikiPageWikiLink Vector-valued_differential_form.
- Frame_bundle wikiPageWikiLink Vector_bundle.
- Frame_bundle wikiPageWikiLink Volume_form.
- Frame_bundle wikiPageWikiLink Well-defined.
- Frame_bundle wikiPageWikiLinkText "Frame bundle".
- Frame_bundle wikiPageWikiLinkText "Frame bundle#Orthonormal frame bundle".
- Frame_bundle wikiPageWikiLinkText "Frame bundle#Tangent frame bundle".
- Frame_bundle wikiPageWikiLinkText "coframe bundle".
- Frame_bundle wikiPageWikiLinkText "frame bundle".
- Frame_bundle wikiPageWikiLinkText "frame".
- Frame_bundle wikiPageWikiLinkText "frames".
- Frame_bundle wikiPageWikiLinkText "in the usual way".
- Frame_bundle wikiPageWikiLinkText "linear frame bundle".
- Frame_bundle wikiPageWikiLinkText "linear frames".
- Frame_bundle wikiPageWikiLinkText "solder form".
- Frame_bundle wikiPageWikiLinkText "tangent frame bundle".
- Frame_bundle wikiPageWikiLinkText "tautological form of the frame bundle".
- Frame_bundle wikiPageWikiLinkText "tautological or fundamental form".
- Frame_bundle wikiPageUsesTemplate Template:Citation.
- Frame_bundle wikiPageUsesTemplate Template:See_also.
- Frame_bundle subject Category:Fiber_bundles.
- Frame_bundle subject Category:Vector_bundles.
- Frame_bundle hypernym F.
- Frame_bundle type MotorsportSeason.
- Frame_bundle type Bundle.
- Frame_bundle type Thing.
- Frame_bundle comment "In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change of basis, giving the frame bundle the structure of a principal GL(k, R)-bundle (where k is the rank of E).The frame bundle of a smooth manifold is the one associated to its tangent bundle. For this reason it is sometimes called the tangent frame bundle.".
- Frame_bundle label "Frame bundle".
- Frame_bundle seeAlso G-structure.
- Frame_bundle sameAs Q5477902.
- Frame_bundle sameAs m.0200rn.
- Frame_bundle sameAs Q5477902.
- Frame_bundle sameAs 标架丛.
- Frame_bundle wasDerivedFrom Frame_bundle?oldid=662636951.
- Frame_bundle isPrimaryTopicOf Frame_bundle.