Einstein metrics on rational homology spheres

Boyer, Charles P.; Galicki, Krzysztof

J. Differential Geom., Tome 72 (2006) no. 1, p. 353-362 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-11-14
Classification: 53C25, 57Rxx

@article{1175266230,
     author = {Boyer, Charles P. and Galicki, Krzysztof},
     title = {Einstein metrics on rational homology spheres},
     journal = {J. Differential Geom.},
     volume = {72},
     number = {1},
     year = {2006},
     pages = { 353-362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175266230}
}

Boyer, Charles P.; Galicki, Krzysztof. Einstein metrics on rational homology spheres. J. Differential Geom., Tome 72 (2006) no. 1, pp.  353-362. http://gdmltest.u-ga.fr/item/1175266230/