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OverviewHigh Quality Content by WIKIPEDIA articles! In the mathematical field of differential geometry, a calibrated manifold is a Riemannian manifold (M, g) of dimension n equipped with a differential p-form (for some 0 p n) which is a calibration in the sense that * is closed: d = 0, where d is the exterior derivative * for any x M and any oriented p-dimensional subspace of TxM, - = vol with 1. Here vol is the volume form of with respect to g. Set Gx( ) = { as above: - = vol }. (In order for the theory to be nontrivial, we need Gx( ) to be nonempty.) Let G( ) be the union of Gx( ) for x in M. The theory of calibrations is due to R. Harvey and B. Lawson and others (see The History of Calibrations). Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.40cm , Length: 15.20cm Weight: 0.128kg ISBN: 9786131235023ISBN 10: 6131235023 Pages: 78 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 |