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Overview"This an introductory book on Self-Dual Riemannian 4- Manifolds. Self-Dual metrics are special type of metrics which provide solution to the ""Optimal Metric"" problem. Under a vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-Manifolds is again self-dual. Here we prove that the same result can be extended over to the positive scalar curvature case. The idea is to use Leray spectral sequence. Secondly we give an example of a 4-manifold with b+ = 0 admitting a scalar-flat anti-self-dual metric. Finally we present an application of the Geometric Invariant Theory(GIT) for Toric Varieties to the Einstein-Weyl Geometry." Full Product DetailsAuthor: Mustafa KalafatPublisher: LAP Lambert Academic Publishing Imprint: LAP Lambert Academic Publishing Dimensions: Width: 15.20cm , Height: 0.80cm , Length: 22.90cm Weight: 0.213kg ISBN: 9783843362016ISBN 10: 3843362017 Pages: 140 Publication Date: 26 October 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 |
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