Open Access
November 2006 Einstein metrics on rational homology spheres
Charles P. Boyer, Krzysztof Galicki
J. Differential Geom. 74(3): 353-362 (November 2006). DOI: 10.4310/jdg/1175266230


We prove the existence of Sasakian-Einstein metrics on infinitely many rational homology spheres in all odd dimensions greater than 3. In dimension 5 we obain somewhat sharper results. There are examples where the number of effective parameters in the Einstein metric grows exponentially with dimension.


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Charles P. Boyer. Krzysztof Galicki. "Einstein metrics on rational homology spheres." J. Differential Geom. 74 (3) 353 - 362, November 2006.


Published: November 2006
First available in Project Euclid: 30 March 2007

MathSciNet: MR2269781
zbMATH: 1107.53028
Digital Object Identifier: 10.4310/jdg/1175266230

Primary: 53C25
Secondary: 57Rxx

Rights: Copyright © 2006 Lehigh University

Vol.74 • No. 3 • November 2006
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