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arXiv · 2511.22013

Quasi-Einstein manifolds with Harmonic Weyl curvature

Huai-Dong Cao·Fengjiang Li·James Siene
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Abstract

In this paper, we classify $n$-dimensional ($n\geq 5$) 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}.

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Huai-Dong Cao, Fengjiang Li, James Siene. 2025-11-27. Quasi-Einstein manifolds with Harmonic Weyl curvature. https://arxiv.org/abs/2511.22013

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