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Kaehler-Einstein metrics on orbifolds and Einstein metrics on spheres

Alessandro Ghigi·János Kollár
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Abstract

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 which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kaehler-Einstein metrics on degree 2 Del Pezzo surfaces with A_1 or A_2-singularities.

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Alessandro Ghigi, János Kollár. 2005-07-14. Kaehler-Einstein metrics on orbifolds and Einstein metrics on spheres. https://arxiv.org/abs/math/0507289

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