{"product_id":"self-dual-metrics-on-4-manifolds-von-mustafa-kalafat","title":"Self-Dual Metrics on 4-Manifolds","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843362016\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843362016","offer_id":39470014103645,"sku":"9783843362016","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/c1ce22a3-8350-4507-b572-b12717fcb473.jpg?v=1756273767","url":"https:\/\/shop.autorenwelt.de\/en\/products\/self-dual-metrics-on-4-manifolds-von-mustafa-kalafat","provider":"Autorenwelt Shop","version":"1.0","type":"link"}