167 citations · 672 across the 49 of their papers we have counts for
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Einstein Metrics on Rational Homology Spheres
Charles P. Boyer, Krzysztof Galicki
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 resu…
Einstein Metrics on Exotic Spheres in Dimensions 7, 11, and 15
Charles P. Boyer, Krzysztof Galicki, János Kollár +1
In a recent article the first three authors proved that in dimension all homotopy spheres that bound parallelizable manifolds admit Einstein metrics of positive scalar curva…
Toric self-dual Einstein metrics as quotients
Charles P. Boyer, David M. J. Calderbank, Krzysztof Galicki +1
We use the quaternion Kahler reduction technique to study old and new self-dual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and re…
Einstein Metrics on Spheres
Charles P. Boyer, Krzysztof Galicki, János Kollár
We prove the existence of an abundance of new Einstein metrics on odd dimensional spheres including exotic spheres, many of them depending on continuous parameters. The number of f…