Kähler–Einstein metrics on orbifolds and Einstein metrics on spheres
Copyright policy )Kähler–Einstein metrics on orbifolds and Einstein metrics on spheres
A construction of Kähler–Einstein metrics using Galois coverings, studied by Arezzo–Ghigi–Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of ℂℙ^n which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kähler–Einstein metrics on degree 2 Del Pezzo surfaces with A_1 - or A_2 -singularities.
- College of New Jersey United States
- University of Milano-Bicocca Italy
- University of Milan Italy
- University of Pavia Italy
Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), FOS: Mathematics, Orbifolds; Kaehler-Einstein metrics; Einstein metrics; exotic spheres, Algebraic Geometry (math.AG)
Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), FOS: Mathematics, Orbifolds; Kaehler-Einstein metrics; Einstein metrics; exotic spheres, Algebraic Geometry (math.AG)
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