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- G2_manifold abstract "In differential geometry, a G2 manifold is a seven-dimensional Riemannian manifold with holonomy group G2. The group is one of the five exceptional simple Lie groups. It can be described as the automorphism group of the octonions, or equivalently, as a proper subgroup of special orthogonal group SO(7) that preserves a spinor in the eight-dimensional spinor representation or lastly as the subgroup of the general linear group GL(7) which preserves the non-degenerate 3-form , the associative form. The Hodge dual, is then a parallel 4-form, the coassociative form. These forms are calibrations in the sense of Harvey–Lawson, and thus define special classes of 3- and 4-dimensional submanifolds.".
- G2_manifold wikiPageExternalLink rtx110400580p.pdf.
- G2_manifold wikiPageID "648062".
- G2_manifold wikiPageRevisionID "599734214".
- G2_manifold hasPhotoCollection G2_manifold.
- G2_manifold subject Category:Differential_geometry.
- G2_manifold subject Category:Riemannian_geometry.
- G2_manifold subject Category:Structures_on_manifolds.
- G2_manifold comment "In differential geometry, a G2 manifold is a seven-dimensional Riemannian manifold with holonomy group G2. The group is one of the five exceptional simple Lie groups. It can be described as the automorphism group of the octonions, or equivalently, as a proper subgroup of special orthogonal group SO(7) that preserves a spinor in the eight-dimensional spinor representation or lastly as the subgroup of the general linear group GL(7) which preserves the non-degenerate 3-form , the associative form.".
- G2_manifold label "G2 manifold".
- G2_manifold sameAs m.02_cd5.
- G2_manifold sameAs Q5512692.
- G2_manifold sameAs Q5512692.
- G2_manifold wasDerivedFrom G2_manifold?oldid=599734214.
- G2_manifold isPrimaryTopicOf G2_manifold.