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arXiv · 1910.05706

Residue formula for an obstruction to Coupled K\"ahler-Einstein metrics

Akito Futaki·Yingying Zhang
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Abstract

We obtain a residue formula for an obstruction to the existence of coupled K\"ahler-Einstein metrics described by Futaki-Zhang. We apply it to an example studied separately by Futaki and Hultgren which is a toric Fano manifold with reductive automorphism, does not admit a K\"ahler-Einstein metric but still admits coupled K\"ahler-Einstein metrics.

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Akito Futaki, Yingying Zhang. 2019-10-13. Residue formula for an obstruction to Coupled K\"ahler-Einstein metrics. https://arxiv.org/abs/1910.05706

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