Self-Dual Metrics on 4-Manifolds


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  • Product Description

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-?at anti-self-dual metric. Finally we present an application of the Geometric Invariant Theory(GIT) for Toric Varieties to the Einstein-Weyl Geometry.

Product Specifications
SKU :COC32859
AuthorMustafa Kalafat
Number of Pages140
Publishing Year10/26/2010
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-29 00:00:00
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