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OverviewPlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High Quality Content by WIKIPEDIA articles! 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. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.60cm , Length: 15.20cm Weight: 0.165kg ISBN: 9786131241475ISBN 10: 6131241473 Pages: 104 Publication Date: 14 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |