In this paper we prove that if a compact Kähler-Einstein manifold (M,ω) with integral Kähler form satisfies a compatibility condition between the domain of definition of the Bochner coordinates and of the diastasis potential, then c1(M) > 0.
A note on Kaehler--Einstein metrics and Bochner's coordinates
LOI, ANDREA;
2004-01-01
Abstract
In this paper we prove that if a compact Kähler-Einstein manifold (M,ω) with integral Kähler form satisfies a compatibility condition between the domain of definition of the Bochner coordinates and of the diastasis potential, then c1(M) > 0.
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