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- G-structure abstract "In differential geometry, a G-structure on an n-manifold M, for a given structure group G, is a G-subbundle of the tangent frame bundle FM (or GL(M)) of M.The notion of G-structures includes many other structures on manifolds, some of them being defined by tensor fields. For example, for the orthogonal group, an O(n)-structure defines a Riemannian metric, and for the special linear group an SL(n,R)-structure is the same as a volume form. For the trivial group, an {e}-structure consists of an absolute parallelism of the manifold.Several structures on manifolds, such as a complex structure, a symplectic structure, or a Kähler structure, are G-structures with an additional integrability condition.".
- G-structure wikiPageID "1277699".
- G-structure wikiPageRevisionID "543907305".
- G-structure hasPhotoCollection G-structure.
- G-structure subject Category:Differential_geometry.
- G-structure subject Category:Structures_on_manifolds.
- G-structure type Artifact100021939.
- G-structure type Object100002684.
- G-structure type PhysicalEntity100001930.
- G-structure type Structure104341686.
- G-structure type StructuresOnManifolds.
- G-structure type Whole100003553.
- G-structure type YagoGeoEntity.
- G-structure type YagoPermanentlyLocatedEntity.
- G-structure comment "In differential geometry, a G-structure on an n-manifold M, for a given structure group G, is a G-subbundle of the tangent frame bundle FM (or GL(M)) of M.The notion of G-structures includes many other structures on manifolds, some of them being defined by tensor fields. For example, for the orthogonal group, an O(n)-structure defines a Riemannian metric, and for the special linear group an SL(n,R)-structure is the same as a volume form.".
- G-structure label "G-structure".
- G-structure label "G-结构".
- G-structure sameAs m.04pjcz.
- G-structure sameAs Q5511959.
- G-structure sameAs Q5511959.
- G-structure sameAs G-structure.
- G-structure wasDerivedFrom G-structure?oldid=543907305.
- G-structure isPrimaryTopicOf G-structure.