Datar, VV and Pingali, VP (2020) On coupled constant scalar curvature Kähler metrics. In: Journal of Symplectic Geometry, 18 (4). pp. 961-994.
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Abstract
We provide a moment map interpretation for the coupled Kähler-Einstein equations introduced in 16, and in the process introduce a more general system of equations, which we call coupled cscK equations. A differentio-geometric formulation of the correspond-ing Futaki invariant is obtained and a notion of K-polystability is defined for this new system. Finally, motivated by a result of Székelyhidi, we prove that if there is a solution to our equations, then small K-polystable perturbations of the underlying complex structure and polarizations also admit coupled cscK metrics. © 2020, Homology, Homotopy and Applications. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Symplectic Geometry |
| Publisher: | Homology, Homotopy and Applications |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 23 Jan 2023 11:28 |
| Last Modified: | 23 Jan 2023 11:28 |
| URI: | https://eprints.iisc.ac.in/id/eprint/79283 |
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