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https://repositorio.ufba.br/handle/ri/7477
metadata.dc.type: | Artigo de Periódico |
Title: | On Einstein four-manifolds |
Other Titles: | Journal of Geometry and Physics ( |
Authors: | Costa, Ézio de Araújo |
metadata.dc.creator: | Costa, Ézio de Araújo |
Abstract: | In this paper we obtain obstructions to the existence of Einstein metrics satisfying auxiliary sectional curvature bounds. In particular, we give sufficient conditions for a compact-oriented Einstein four-manifold M to be isometric to either the sphere S4 or the complex projective space CP2. Also, we improve the Hitchin–Thorpe’s inequality which relates the Euler characteristic of M and its signature. |
Keywords: | Four-manifold Einstein manifold Sectional curvature Euler characteristic |
Publisher: | EBEPEGE |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7477 |
Issue Date: | 2004 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S0393044003001918-main.pdf Restricted Access | 204,55 kB | Adobe PDF | View/Open Request a copy |
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