Einstein Metrics, Four-Manifolds, and Differential Topology

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This article presents a new and more elementary proof of the main Seiberg-Witten-based obstruction to the existence of Einstein metrics on smooth compact 4-manifolds. It also introduces a new smooth manifold invariant which conveniently encapsulates those aspects of Seiberg-Witten theory most relevant to the study of Riemannian variational problems on 4-manifolds.
21 pages, LaTeX2e

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Differential Geometry, Geometric Topology, 53C25, 57R57

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http://salesiana.dossiersoluciones.com/handle/123456789/70913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404359
 http://arxiv.org/abs/math/0404359
 Surveys in Differential Geometry, vol. VIII: Papers in Honor of Calabi, Lawson, Siu, and Uhlenbeck. S.-T. Yau, editor. International Press of Boston, 2003, pp. 235--255

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arXiv