Connection (mathematics)

Ehresmann connection

In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber bundle, but nevertheless, linear connections may be viewed as a special case. Another important special case of Ehresmann connections are principal connections on principal bundles, which are required to be equivariant in the principal Lie group action. (Wikipedia).

Ehresmann connection
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From playlist Schrödinger's equation

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From playlist Schrödinger's equation

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From playlist Geometry

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From playlist Angle Relationships

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From playlist In Theory

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From playlist Introduction to Vectors

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From playlist Physics

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From playlist Angle Relationships From a Figure

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From playlist LSAT Games

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From playlist Decision 1: Edexcel A-Level Maths Full Course

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From playlist OLD ANTS #7) Connectivity

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From playlist Interesting Programming

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From playlist CSE547 - Discrete Mathematics - 1999 SBU

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From playlist HIM Lectures 2015

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From playlist Graph Theory

Related pages

Covariant derivative | Lie group | Curvature form | Principal bundle | Vector space | Differential form | Tangent space | Fiber bundle | Connection (vector bundle) | Holonomy | Associated bundle | Frame bundle | Connection (principal bundle) | Connection (mathematics) | Local property | Adjoint representation | Affine connection | Pullback bundle | Jet bundle | Picard–Lindelöf theorem | Directional derivative | Christoffel symbols | Raoul Bott | Covariant transformation | Lie derivative | Pushforward (differential) | Vector bundle | Frobenius theorem (differential topology) | Cartan connection | Connection form | Rank–nullity theorem | Parallel transport | Curvature | Differential geometry | Endomorphism | Vector field | Pullback (differential geometry) | Charles Ehresmann