Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Connection_(mathematics)> ?p ?o }
- Connection_(mathematics) abstract "In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for transporting tangent vectors to a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields: the infinitesimal transport of a vector field in a given direction.Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection generalizing the derivative in a vector bundle.Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.".
- Connection_(mathematics) thumbnail Connection-on-sphere.png?width=300.
- Connection_(mathematics) wikiPageExternalLink Connections.
- Connection_(mathematics) wikiPageID "308815".
- Connection_(mathematics) wikiPageLength "17388".
- Connection_(mathematics) wikiPageOutDegree "115".
- Connection_(mathematics) wikiPageRevisionID "683925916".
- Connection_(mathematics) wikiPageWikiLink Affine_connection.
- Connection_(mathematics) wikiPageWikiLink Alexander_Grothendieck.
- Connection_(mathematics) wikiPageWikiLink Bilinear_form.
- Connection_(mathematics) wikiPageWikiLink Cartan_connection.
- Connection_(mathematics) wikiPageWikiLink Cartans_equivalence_method.
- Connection_(mathematics) wikiPageWikiLink Category:Connection_(mathematics).
- Connection_(mathematics) wikiPageWikiLink Category:Differential_geometry.
- Connection_(mathematics) wikiPageWikiLink Category:Differential_topology.
- Connection_(mathematics) wikiPageWikiLink Chain_rule.
- Connection_(mathematics) wikiPageWikiLink Charles_Ehresmann.
- Connection_(mathematics) wikiPageWikiLink Christoffel_symbols.
- Connection_(mathematics) wikiPageWikiLink Complex_analysis.
- Connection_(mathematics) wikiPageWikiLink Connection_(affine_bundle).
- Connection_(mathematics) wikiPageWikiLink Connection_(algebraic_framework).
- Connection_(mathematics) wikiPageWikiLink Connection_(composite_bundle).
- Connection_(mathematics) wikiPageWikiLink Connection_(fibred_manifold).
- Connection_(mathematics) wikiPageWikiLink Connection_(principal_bundle).
- Connection_(mathematics) wikiPageWikiLink Connection_(vector_bundle).
- Connection_(mathematics) wikiPageWikiLink Coordinate_system.
- Connection_(mathematics) wikiPageWikiLink Covariance_and_contravariance_of_vectors.
- Connection_(mathematics) wikiPageWikiLink Covariant_derivative.
- Connection_(mathematics) wikiPageWikiLink Curvature.
- Connection_(mathematics) wikiPageWikiLink Curvature_form.
- Connection_(mathematics) wikiPageWikiLink Derivative.
- Connection_(mathematics) wikiPageWikiLink Descent_(mathematics).
- Connection_(mathematics) wikiPageWikiLink Diagonal.
- Connection_(mathematics) wikiPageWikiLink Differential_equation.
- Connection_(mathematics) wikiPageWikiLink Differential_form.
- Connection_(mathematics) wikiPageWikiLink Differential_geometry.
- Connection_(mathematics) wikiPageWikiLink Differential_operator.
- Connection_(mathematics) wikiPageWikiLink Differential_topology.
- Connection_(mathematics) wikiPageWikiLink Directional_derivative.
- Connection_(mathematics) wikiPageWikiLink Ehresmann_connection.
- Connection_(mathematics) wikiPageWikiLink Elwin_Bruno_Christoffel.
- Connection_(mathematics) wikiPageWikiLink Erlangen_program.
- Connection_(mathematics) wikiPageWikiLink Felix_Klein.
- Connection_(mathematics) wikiPageWikiLink Fiber_bundle.
- Connection_(mathematics) wikiPageWikiLink Gauge_theory.
- Connection_(mathematics) wikiPageWikiLink Gennadi_Sardanashvily.
- Connection_(mathematics) wikiPageWikiLink Geometry.
- Connection_(mathematics) wikiPageWikiLink Gregorio_Ricci-Curbastro.
- Connection_(mathematics) wikiPageWikiLink Grothendieck_connection.
- Connection_(mathematics) wikiPageWikiLink Holonomy.
- Connection_(mathematics) wikiPageWikiLink Infinitesimal.
- Connection_(mathematics) wikiPageWikiLink Integrability_conditions_for_differential_systems.
- Connection_(mathematics) wikiPageWikiLink Inversive_geometry.
- Connection_(mathematics) wikiPageWikiLink Jacobian_matrix_and_determinant.
- Connection_(mathematics) wikiPageWikiLink Jean-Louis_Koszul.
- Connection_(mathematics) wikiPageWikiLink Jean_Gaston_Darboux.
- Connection_(mathematics) wikiPageWikiLink Levi-Civita_connection.
- Connection_(mathematics) wikiPageWikiLink Lie_algebra.
- Connection_(mathematics) wikiPageWikiLink Lie_group.
- Connection_(mathematics) wikiPageWikiLink Linear_map.
- Connection_(mathematics) wikiPageWikiLink Manifold.
- Connection_(mathematics) wikiPageWikiLink Metric_tensor.
- Connection_(mathematics) wikiPageWikiLink Module_(mathematics).
- Connection_(mathematics) wikiPageWikiLink Parallel_transport.
- Connection_(mathematics) wikiPageWikiLink Principal_bundle.
- Connection_(mathematics) wikiPageWikiLink Product_rule.
- Connection_(mathematics) wikiPageWikiLink Projective_connection.
- Connection_(mathematics) wikiPageWikiLink Pseudo-Riemannian_manifold.
- Connection_(mathematics) wikiPageWikiLink Riemann_curvature_tensor.
- Connection_(mathematics) wikiPageWikiLink Riemannian_geometry.
- Connection_(mathematics) wikiPageWikiLink Riemannian_manifold.
- Connection_(mathematics) wikiPageWikiLink Schwarzian_derivative.
- Connection_(mathematics) wikiPageWikiLink Shiing-Shen_Chern.
- Connection_(mathematics) wikiPageWikiLink South-pointing_chariot.
- Connection_(mathematics) wikiPageWikiLink Stereographic_projection.
- Connection_(mathematics) wikiPageWikiLink Tangent_space.
- Connection_(mathematics) wikiPageWikiLink Tensor.
- Connection_(mathematics) wikiPageWikiLink Torsion_tensor.
- Connection_(mathematics) wikiPageWikiLink Tullio_Levi-Civita.
- Connection_(mathematics) wikiPageWikiLink Vector_bundle.
- Connection_(mathematics) wikiPageWikiLink Vector_calculus.
- Connection_(mathematics) wikiPageWikiLink Vector_field.
- Connection_(mathematics) wikiPageWikiLink Élie_Cartan.
- Connection_(mathematics) wikiPageWikiLink File:Connection-on-sphere.png.
- Connection_(mathematics) wikiPageWikiLinkText "Connection (mathematics)".
- Connection_(mathematics) wikiPageWikiLinkText "Connection".
- Connection_(mathematics) wikiPageWikiLinkText "Connectivity".
- Connection_(mathematics) wikiPageWikiLinkText "connected".
- Connection_(mathematics) wikiPageWikiLinkText "connection (mathematics)".
- Connection_(mathematics) wikiPageWikiLinkText "connection".
- Connection_(mathematics) wikiPageWikiLinkText "connections in bundles".
- Connection_(mathematics) wikiPageWikiLinkText "connections".
- Connection_(mathematics) wikiPageWikiLinkText "connections)".
- Connection_(mathematics) wikiPageWikiLinkText "connectivity".
- Connection_(mathematics) wikiPageWikiLinkText "connexion".
- Connection_(mathematics) wikiPageWikiLinkText "simply connected".
- Connection_(mathematics) author "Lumiste, Ü.".
- Connection_(mathematics) id "C/c025140".
- Connection_(mathematics) title "Connection".
- Connection_(mathematics) wikiPageUsesTemplate Template:Citation.