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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/7477

Title: On Einstein four-manifolds
Other Titles: Journal of Geometry and Physics (
Authors: Costa, Ézio de Araújo
Keywords: Four-manifold;Einstein manifold;Sectional curvature;Euler characteristic
Issue Date: 2004
Publisher: EBEPEGE
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.
Description: Texto completo: acesso restrito. p. 244-255.
URI: http://www.repositorio.ufba.br/ri/handle/ri/7477
ISSN: 0393-0440
Appears in Collections:Artigos Publicados em Periódicos (IM)

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