G2 manifold
In differential geometry, a G2 manifold is a seven-dimensional Riemannian manifold with holonomy group contained in 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 Reese Harvey and H. Blaine Lawson, and thus define special classes of 3- and 4-dimensional submanifolds.
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G2 manifold
In differential geometry, a G2 manifold is a seven-dimensional Riemannian manifold with holonomy group contained in 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 Reese Harvey and H. Blaine Lawson, and thus define special classes of 3- and 4-dimensional submanifolds.
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-многовид — семивимірний ріман ...... ні і мають спінорну структуру.
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-многообразие — семимерное рим ...... обладают спинорной структурой.
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En G2-mångfald, även känd som ...... nsionella supersträngteorierna
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In differential geometry, a G2 ...... nd 4-dimensional submanifolds.
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Na geometria de Riemann, a var ...... er como um grupo de holonomia.
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-многовид — семивимірний ріман ...... ні і мають спінорну структуру.
@uk
-многообразие — семимерное рим ...... обладают спинорной структурой.
@ru
En G2-mångfald, även känd som ...... nsionella supersträngteorierna
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In differential geometry, a G2 ...... nd 4-dimensional submanifolds.
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Na geometria de Riemann, a var ...... er como um grupo de holonomia.
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G2 manifold
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G2-mångfald
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G2-многовид
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G2-многообразие
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Variedade G2
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