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Existence of coupled Kahler-Einstein metrics using the continuity method

Pingali, Vamsi Pritham (2018) Existence of coupled Kahler-Einstein metrics using the continuity method. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 29 (5).

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Official URL: https://dx.doi.org/10.1142/S0129167X18500416


In this paper, we prove the existence of coupled Kahler-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 Nystrom using calculus of variations. We prove the result using the method of continuity. In the process of proving estimates, akin to the usual Kahler-Einstein metrics, we reduce existence in the Fano case to a C-0 estimate.

Item Type: Journal Article
Additional Information: Copy right of this article belong to WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 19 Jun 2018 14:46
Last Modified: 19 Jun 2018 14:46
URI: http://eprints.iisc.ac.in/id/eprint/60052

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