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G-structure on a manifold

In differential geometry, a G-structure on an n {\displaystyle n} -manifold M {\displaystyle M} , for a given structure group G {\displaystyle G} , is a principal G {\displaystyle G} -subbundle of the tangent frame bundle F M {\displaystyle {\text{F}}M} (or GL ⁡ ( M ) {\displaystyle \operatorname {GL} (M)} ) of M {\displaystyle M} .

Explore topics related to G-structure on a manifold — including Reduction of the structure group, Overview & Integrability conditions and flat G-structures.

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Overview

Reduction of the structure group

G-structures

Integrability conditions and flat G-structures

Isomorphism of G-structures

Connections on G-structures

Higher order G-structures

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G-structure on a manifold

Nodes79
Edges78
Triples12
Avg. degree1.97
Density0.025316
Components1

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G-structure on a manifold

Top relations

related to Isomorphism of G-structures · 12
G-structure on a manifold → FM, FN, For, G-structure, G-structures, Let, Note, Riemannian, SL, The, The G-structures, Then

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Important terminology

group structure displaystyle g-structure bundle principal reduction torsion g-structures manifold complex called example structures connection adapted given frame isomorphism connections

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SubjectPredicateObjectConfidenceSrc
G-structure on a manifoldrelated to Isomorphism of G-structuresThe0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresG-structure0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresFor0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresRiemannian0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresSL0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresLet0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresThen0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresG-structures0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresFM0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresFN0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresNote0.60section
G-structure on a manifoldrelated to Isomorphism of G-structuresThe G-structures0.60section

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    Researching G-structure on a manifold? Use this map to explore Reduction of the structure group, Overview & Integrability conditions and flat G-structures and other closely related topics, then follow useful entities and relationships into deeper research. Automatically generated connections are research leads, so verify important facts in reliable sources.