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
Abstract
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 |
|---|---|
| Publication: | INTERNATIONAL JOURNAL OF MATHEMATICS |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE |
| 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 |
| 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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