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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 quaternion-Kahler manifold (or quaternionic Kahler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp(n)*Sp(1). Another, more explicit, definition, uses a 3-dimensional subbundle H of End(TM) of endomorphisms of the tangent bundle to a Riemannian M. For M to be quaternion-Kahler, H should be preserved by the Levi-Civita connection and pointwise isomorphic to the imaginary quaternions, in such a way that unit imaginary quaternions in H act on TM preserving the metric. Notice that this definition includes hyperkahler manifolds. However, these are often excluded from the definition of a quaternion-Kahler manifold by imposing the condition that the scalar curvature is nonzero, or that the holonomy group is equal to Sp(n)*Sp(1). 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: 0.171kg ISBN: 9786131245923ISBN 10: 6131245924 Pages: 108 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 |