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arXiv · 2501.00649

On weakly Einstein K\"ahler surfaces

Andrzej Derdzinski·Yunhee Euh·Sinhwi Kim·JeongHyeong Park
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Abstract

Riemannian four-manifolds in which the triple contraction of the curvature tensor against itself yields a functional multiple of the metric are called weakly Einstein. We focus on weakly Einstein K\"ahler surfaces. We provide several conditions characterizing those K\"ahler surfaces which are weakly Einstein, classify weakly Einstein K\"ahler surfaces having some specific additional properties, and construct new examples.

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Andrzej Derdzinski, Yunhee Euh, Sinhwi Kim, JeongHyeong Park. 2024-12-31. On weakly Einstein K\"ahler surfaces. https://doi.org/10.1142/s0129167x25500570

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