67 citations · 89 across the 9 of their papers we have counts for
5 papers · 1 filter
Kaehler-Einstein metrics on orbifolds and Einstein metrics on spheres
Alessandro Ghigi, János Kollár
A construction of Kaehler-Einstein metrics using Galois coverings, studied by Arezzo-Ghigi-Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of P^n whi…
Einstein metrics on 5-dimensional Seifert bundles
János Kollár
The aim of this paper is to study Seifert bundle structures on simply connected 5--manifolds. We classify all such 5--manifolds which admit a Seifert bundle structure, and in a few…
Einstein metrics on connected sums of
János Kollár
The aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of . We realize these 5-manifo…
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…
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…