Einstein Metrics on Rational Homology Spheres

Details Einstein Metrics on Rational Homology Spheres Einstein Metrics on Rational Homology Spheres

2003-11-20

arxiv.org/abs/math/0311355v1

J.Diff.Geom.74:353-362,2006

Mathematics

Differential Geometry

8 pages

Scientific paper

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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