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- W2952779721 abstract "In this paper we study the set of balanced metrics (in Donaldson's terminology) on a compact complex manifold M which are homothetic to a given balanced one. This question is related to various properties of the Tian-Yau-Zelditch approximation theorem for Kahler metrics. We prove that this set is finite when $M$ admits a non-positive Kahler-Einstein metric, in the case of non-homogenous toric Kaehler-Einstein manifolds of dimension $leq 4$ and in the case of Arezzo-Pacard constant scalar curvature metrics." @default.
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- W2952779721 date "2011-05-26" @default.
- W2952779721 modified "2023-09-27" @default.
- W2952779721 title "On Homothetic Balanced Metrics" @default.
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