Residue formula for an obstruction to Coupled K\"ahler-Einstein metrics
Differential Geometry
2019-10-15 v1
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.
Keywords
Cite
@article{arxiv.1910.05706,
title = {Residue formula for an obstruction to Coupled K\"ahler-Einstein metrics},
author = {Akito Futaki and Yingying Zhang},
journal= {arXiv preprint arXiv:1910.05706},
year = {2019}
}
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10 pages