Quasi-Einstein manifolds with Harmonic Weyl curvature
Differential Geometry
2025-12-01 v1
Abstract
In this paper, we classify -dimensional () quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quasi-Einstein manifolds and refining the work of He-Petersen-Wylie \cite{HPW}. As a consequence, we provide new examples of quasi-Einstein manifolds which are neither locally conformally flat nor D-flat in the sense of \cite{CC12}.
Keywords
Cite
@article{arxiv.2511.22013,
title = {Quasi-Einstein manifolds with Harmonic Weyl curvature},
author = {Huai-Dong Cao and Fengjiang Li and James Siene},
journal= {arXiv preprint arXiv:2511.22013},
year = {2025}
}