Existence of coupled Kähler–Einstein metrics using the continuity method
2018 ◽
Vol 29
(05)
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pp. 1850041
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Keyword(s):
In this paper, we prove the existence of coupled Kähler–Einstein metrics on complex manifolds whose canonical bundle is ample. These metrics were introduced and their existence in the said case was proven by Hultgren and Nyström using calculus of variations. We prove the result using the method of continuity. In the process of proving estimates, akin to the usual Kähler–Einstein metrics, we reduce existence in the Fano case to a [Formula: see text] estimate.
2021 ◽
Vol 0
(0)
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Keyword(s):
2018 ◽
Vol 2019
(21)
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pp. 6765-6796
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1986 ◽
pp. 165-179
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Keyword(s):
2004 ◽
Vol 15
(09)
◽
pp. 967-979
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Keyword(s):
2010 ◽
Vol 199
◽
pp. 107-122
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2016 ◽
Vol 26
(4)
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pp. 975-1010
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