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arXiv · 1608.07209

Coupled Kähler-Einstein metrics

Jakob Hultgren·David Witt Nyström
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Abstract

We propose new types of canonical metrics on Kähler manifolds, called coupled Kähler-Einstein metrics, generalizing Kähler-Einstein metrics. We prove existence and uniqueness results in the cases when the canonical bundle is ample and when the manifold is Kähler-Einstein Fano. In the Fano case we also prove that existence of coupled Kähler-Einstein metrics imply a certain algebraic stability condition, generalizing $K$-polystability.

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Jakob Hultgren, David Witt Nyström. 2017-03-15. Coupled Kähler-Einstein metrics. https://arxiv.org/abs/1608.07209

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