On weakly Einstein K\"ahler surfaces
Differential Geometry
2026-01-26 v3
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.
Cite
@article{arxiv.2501.00649,
title = {On weakly Einstein K\"ahler surfaces},
author = {Andrzej Derdzinski and Yunhee Euh and Sinhwi Kim and JeongHyeong Park},
journal= {arXiv preprint arXiv:2501.00649},
year = {2026}
}
Comments
Some unnecessary text removed from Section 6