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A K-energy functional for complexified Kähler classes
[Submitted on 19 Jul 2023 (v1), last revised 18 Jun 2026 (this v · 2026-06-19 · via math updates on arXiv.org

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Abstract:The K-energy functional is extended to complexified Kähler classes, providing a variational approach to study the scalar curvature equation with B-field introduced by Schlitzer and Stoppa. The extended K-energy is convex along geodesics in the space of almost calibrated representatives of the complexified Kähler class. This fact is used to show that, in some situations, solutions of the scalar curvature equation with B-field are unique in their class, up to pullbacks by reduced automorphisms of the manifold.

Submission history

From: Carlo Scarpa [view email]
[v1] Wed, 19 Jul 2023 11:04:10 UTC (27 KB)
[v2] Thu, 18 Jun 2026 08:01:57 UTC (27 KB)