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Bismut K\"ahler-like manifolds of dimension 4 and 5

Quanting ZhaoFangyang Zheng
Mar 2023
摘要
This paper is a sequel to our studies \cite{ZZ} and \cite{YZZ} on BismutK\"ahler-like manifolds, or {\em BKL} manifolds for short. We will study thestructural theorems for {\em BKL} manifolds, prove a conjecture raised in\cite{YZZ} which states that any {\em BKL} manifold that is Bismut Ricci flatmust be Bismut flat, and give complete classifications of {\em BKL} manifoldsin dimension $4$ and $5$.
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