Open AccessKähler–Einstein metrics on orbifolds and Einstein metrics on spheres
Author(s) -
Alessandro Ghigi,
Janós Kollár
Publication year - 2007
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/113
Subject(s) - einstein , mathematics , spheres , pure mathematics , theoretical physics , mathematical physics , physics , astronomy
A construction of Kahler?Einstein metrics using Galois coverings, studied by Arezzo?Ghigi?Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of CPn which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kahler?Einstein metrics on degree 2 Del Pezzo surfaces with A1- or A2-singularities.
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