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Kahler-Einstein Metrics and Integral Invariants

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A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kahler-Einstein metric.

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Kahler-Einstein Metrics and Integral Invariants, Akito Futaki

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1988
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