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G2- Structure
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Geliefert zwischen Mo., 26.01.2026 und Di., 27.01.2026
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, a G2-structure is an important type of G-structure that can be defined on a smooth manifold. If M is a smooth manifold of dimension seven, then a G2-structure is a reduction of structure group of the frame bundle of M to the compact, exceptional Lie group G2. The property of being a G2-manifold is much stronger than that of admitting a G2-structure. Indeed, a G2-manifold is a manifold with a G2-structure which is torsion-free. The letter "G" occurring in the phrases "G-structure" and "G2-structure" refers to different things. In the first case, G-structures take their name from the fact that arbitrary Lie groups are typically denoted with the letter "G". On the other hand, the letter "G" in "G2" comes from the fact that the its Lie algebra is the seventh type ("G" being the seventh letter of the alphabet) in the classification of complex simple Lie algebras by Elie Cartan.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131241475
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131241475
- Format Fachbuch
- Titel G2- Structure
- Herausgeber Betascript Publishing
- Anzahl Seiten 104
- Genre Mathematik
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