On the balanced condition for the Eguchi-Hanson metric

Abstract

Let $g_{EH}$ be the Eguchi-Hanson metric on the blow-up of ${\mathbb{C}}^2$ at the origin. In this paper we show that $m{g}_{EH}$ is not balanced for any positive integer $m$.

9 pages, 1 figure, to appear in Journal of Geometry and Physics

References in corpus (1)

• Berezin quantization of homogeneous bounded domains

Cited by in corpus (2)

• The Simanca metric admits a regular quantization
• On holomorphic isometries into blow-ups of ${\mathbb{C}}^n$