About: Principal bundle

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Fiber bundle whose fibers are group torsors (groups with the identity element forgotten)

Property	Value
dbo:description	és un objecte matemàtic que formalitza algunes de les característiques essencials del producte cartesià. (ca) Classe especial de fibrado (pt) Konzept der Differentialgeometrie (de) Struttura della geometria differenziale (it) fiber bundle whose fibers are group torsors (groups with the identity element forgotten) (en) fibra fasko, kies fibro estas izomorfa al grupo, sed kun la unuo forgesita (eo) локально тривиальное расслоение, слои которого являются торсорсами (группами с забытой единицей) (ru)
dbo:thumbnail	wiki-commons:Special:FilePath/Z2_principal_bundle_over_circle.png?width=300
dbo:wikiPageExternalLink	https://archive.org/details/gaugetheoryvaria00blee_0%7Curl-access=registration%7Cyear=1981%7Cpublisher=Addison-Wesley https://archive.org/details/topologyoffibreb0000stee%7Curl-access=registration%7Cpublisher=Princeton
dbo:wikiPageWikiLink	dbr:Hopf_bundle dbr:Hausdorff_space dbr:Riemannian_manifold dbr:Frame_bundle dbr:Pullback_bundle dbr:Mathematics dbr:Physics dbr:Connection_(principal_bundle) dbr:Spin_structure dbr:Differential_geometry dbr:Topology dbr:General_linear_group dbr:Vector_bundle dbr:Fiber_bundle_construction_theorem dbr:Sphere dbr:Lie_group dbr:Projective_space dbr:Submersion_(mathematics) dbr:Orthogonal_group dbr:Change_of_basis dbr:Tangent_space dbr:Bijection dbr:Cartesian_product dbr:Möbius_strip dbr:Section_(fiber_bundle) dbr:Gauge_theory_(mathematics) dbr:Real_projective_space dbr:Quaternionic_projective_space dbr:Gauge_theory dbr:Group_(mathematics) dbr:Open_set dbr:Topological_group dbr:Complex_projective_space dbr:Faithful_representation dbr:Homeomorphism dbr:Category_(mathematics) dbr:Identity_element dbr:Normal_subgroup dbr:Spin_group dbr:Homotopy_group dbr:Covering_space dbr:Metric_tensor dbr:Proper_map dbr:Special_orthogonal_group dbr:Fiber_bundle dbc:Differential_geometry dbc:Group_actions_(mathematics) dbr:Weakly_contractible dbr:Trivial_bundle dbr:G-fibration dbc:Fiber_bundles dbr:Smooth_manifold dbr:Orthonormal dbr:Associated_bundle dbr:Basis_of_a_vector_space dbr:Orbit_(group_theory) dbr:Reduction_of_the_structure_group dbr:G-structure dbr:Product_space dbr:Group_action_(mathematics) dbr:Diffeomorphic dbr:Almost-complex_structure dbr:Homeomorphic dbr:Linear_representation dbr:Associated_vector_bundle dbr:Free_action dbr:Orthonormal_frame_bundle dbr:Continuous_(topology) dbr:Coset_space dbr:Equivariant dbr:Orientable dbr:Paracompact dbr:Parallelizable dbr:Universal_cover dbr:Smooth_map dbr:Torsor dbr:Transition_map dbr:Transitive_action dbr:File:Mobius_frame_bundle.png dbr:File:Z2_principal_bundle_over_circle.png
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Manifolds dbt:Inline dbt:Main dbt:Math dbt:See_also dbt:Short_description
dct:subject	dbc:Differential_geometry dbc:Group_actions_(mathematics) dbc:Fiber_bundles
gold:hypernym	dbr:Object
rdf:type	owl:Thing owl:Thing
rdfs:label	Principal bundle (en) Fibrat principal (ca) Precipa fasko (eo) Hauptfaserbündel (de) Fibrado principal (es) Fibré principal (fr) Fibrato principale (it) 主束 (ja) 주다발 (ko) Fibrado principal (pt) Главное расслоение (ru) Головне розшарування (uk) 主丛 (zh)
rdfs:seeAlso	dbr:Frame_bundle dbr:Reduction_of_the_structure_group
owl:sameAs	freebase:Principal bundle yago-res:Principal bundle wikidata:Principal bundle dbpedia-de:Principal bundle dbpedia-es:Principal bundle dbpedia-it:Principal bundle dbpedia-fr:Principal bundle dbpedia-ja:Principal bundle dbpedia-pt:Principal bundle dbpedia-ru:Principal bundle dbpedia-zh:Principal bundle dbpedia-vi:Principal bundle dbpedia-ko:Principal bundle dbpedia-ca:Principal bundle dbpedia-eo:Principal bundle dbpedia-uk:Principal bundle dbpedia-global:Principal bundle
prov:wasDerivedFrom	wikipedia-en:Principal_bundle?oldid=1307442775&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Mobius_frame_bundle.png wiki-commons:Special:FilePath/Z2_principal_bundle_over_circle.png
foaf:isPrimaryTopicOf	wikipedia-en:Principal_bundle
is dbo:wikiPageRedirects of	dbr:Principal_G-bundle dbr:Principal_bundles dbr:Principal_fiber_bundle dbr:Principle_bundle dbr:Principle_fiber_bundle
is dbo:wikiPageWikiLink of	dbr:Gauge_covariant_derivative dbr:Erlangen_program dbr:Foliation dbr:Hopf_fibration dbr:Shiing-Shen_Chern dbr:Frame_fields_in_general_relativity dbr:Gauge_gravitation_theory dbr:Pullback_bundle dbr:Adjoint_bundle dbr:Klein_geometry dbr:Covering_group dbr:Harmonic_superspace dbr:Monopole_(mathematics) dbr:Monodromy dbr:Obstruction_theory dbr:Connection_(principal_bundle) dbr:Foundations_of_Differential_Geometry dbr:Darboux_frame dbr:Differentiable_manifold dbr:Torsion_tensor dbr:Maurer–Cartan_form dbr:Riemannian_connection_on_a_surface dbr:Bundle_(mathematics) dbr:Spin_structure dbr:Differential_geometry dbr:Calabi–Eckmann_manifold dbr:Fiber_bundle_construction_theorem dbr:Moving_frame dbr:Ivan_Panin_(mathematician) dbr:Connection_(mathematics) dbr:Higgs_mechanism dbr:Hermitian_manifold dbr:Sheaf_cohomology dbr:Parallel_transport dbr:Kosmann_lift dbr:Curvature_form dbr:Differential_form dbr:Higgs_bundle dbr:Hitchin's_equations dbr:Curvature_of_Riemannian_manifolds dbr:Dirac_equation dbr:Magnetic_monopole dbr:Floer_homology dbr:Cohomology dbr:Geometric_topology dbr:Weitzenböck_identity dbr:Segal's_conjecture dbr:Vikraman_Balaji dbr:Vertical_and_horizontal_bundles dbr:Section_(fiber_bundle) dbr:Spinor_bundle dbr:Gauge_theory_(mathematics) dbr:Quaternionic_projective_space dbr:Holonomy dbr:Gauge_theory dbr:Atiyah_algebroid dbr:Curvature dbr:Yang–Mills_equations dbr:Gerbe dbr:Quotient_group dbr:Homotopy_theory dbr:Maxwell's_equations_in_curved_spacetime dbr:Line_bundle dbr:Principal_homogeneous_space dbr:Circle_bundle dbr:Classifying_space dbr:Topological_group dbr:Solder_form dbr:Generalized_flag_variety dbr:Higgs_field_(classical) dbr:Exterior_covariant_derivative dbr:Lie_algebroid dbr:Characteristic_class dbr:Kaluza–Klein_theory dbr:BRST_quantization dbr:Chern–Simons_theory dbr:Stiefel_manifold dbr:Connection_form dbr:List_of_differential_geometry_topics dbr:Borel–Weil–Bott_theorem dbr:Chern–Weil_homomorphism dbr:Parallelizable_manifold dbr:Character_variety dbr:Ehresmann_connection dbr:Lie_groupoid dbr:N-sphere dbr:Donaldson's_theorem dbr:Instanton dbr:Kobayashi–Hitchin_correspondence dbr:Cartan_connection dbr:Volume_form dbr:Fiber_bundle dbr:Affine_connection dbr:Algebroid dbr:Fibered_manifold dbr:Fibred_category dbr:G-structure_on_a_manifold dbr:Tetrad_formalism dbr:Glossary_of_differential_geometry_and_topology dbr:Gluon_field_strength_tensor dbr:Large_gauge_transformation dbr:Supergeometry dbr:Coframe dbr:Mathematical_descriptions_of_the_electromagnetic_field dbr:Symplectization dbr:Nonabelian_Hodge_correspondence dbr:Parallelization_(mathematics) dbr:Higher_gauge_theory dbr:Affine_gauge_theory dbr:Equivariant_topology dbr:Lie_group_action dbr:Metric-affine_gravitation_theory dbr:Torsor_(algebraic_geometry) dbr:World_manifold dbr:Special_group_(algebraic_group_theory) dbr:Anosov_diffeomorphism dbr:Vector-valued_differential_form dbr:Courant_bracket dbr:Associated_bundle dbr:Generalizations_of_the_derivative dbr:Connection_(composite_bundle) dbr:Connection_(fibred_manifold) dbr:Lie_group–Lie_algebra_correspondence dbr:Bogomolny_equations dbr:Differentiable_stack dbr:Gauge_group_(mathematics) dbr:Stable_principal_bundle dbr:Lie_algebra-valued_differential_form dbr:Principal_G-bundle dbr:Principal_bundles dbr:Principal_fiber_bundle dbr:Principle_bundle dbr:Principle_fiber_bundle
is foaf:primaryTopic of	wikipedia-en:Principal_bundle