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April, 2021 Residue formula for an obstruction to coupled Kähler–Einstein metrics
Akito FUTAKI, Yingying ZHANG
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J. Math. Soc. Japan 73(2): 389-401 (April, 2021). DOI: 10.2969/jmsj/83558355

Abstract

We obtain a residue formula for an obstruction to the existence of coupled Kähler–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 Kähler–Einstein metric but still admits coupled Kähler–Einstein metrics.

Funding Statement

The work of the second author was partially supported by Tsinghua University Initiative Scientific Research Program.

Citation

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Akito FUTAKI. Yingying ZHANG. "Residue formula for an obstruction to coupled Kähler–Einstein metrics." J. Math. Soc. Japan 73 (2) 389 - 401, April, 2021. https://doi.org/10.2969/jmsj/83558355

Information

Received: 20 October 2019; Published: April, 2021
First available in Project Euclid: 12 June 2020

Digital Object Identifier: 10.2969/jmsj/83558355

Subjects:
Primary: 32Q15
Secondary: 53C55

Rights: Copyright ©2021 Mathematical Society of Japan

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Vol.73 • No. 2 • April, 2021
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