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- W1639341211 abstract "In this paper we investigate the balanced condition (in the sense of Donaldson) and the existence of an Englis expansion for the LeBrun's metrics on $C^2$. Our first result shows that a LeBrun's metric on $C^2$ is never balanced unless it is the flat metric. The second one shows that an Englis expansion of the Rawnsley's function associated to a LeBrun's metric always exists, while the coefficient $a_3$ of the expansion vanishes if and only if the LeBrun's metric is indeed the flat one." @default.
- W1639341211 created "2016-06-24" @default.
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- W1639341211 date "2011-03-31" @default.
- W1639341211 modified "2023-09-27" @default.
- W1639341211 title "Some remarks on the Kaehler geometry of LeBrun's Ricci flat metrics on C^2" @default.
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