Czechoslovak Mathematical Journal, Vol. 72, No. 4, pp. 1191-1204, 2022


On the classification of 3-dimensional $F$-manifold algebras

Zhiqi Chen, Jifu Li, Ming Ding

Received January 11, 2022.   Published online July 28, 2022.

Abstract:  $F$-manifold algebras are focused on the algebraic properties of the tangent sheaf of $F$-manifolds. The local classification of 3-dimensional $F$-manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional $F$-manifold algebras over the complex field $\mathbb{C}$.
Keywords:  $F$-manifold; Poisson algebra; $F$-manifold algebra
Classification MSC:  17A30, 17B60


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Affiliations:   Zhiqi Chen, School of Mathematics and Statistics, Guangdong University of Technology, 161 Yinglong Road, Tianhe District, Guangzhou 510520, P. R. China, e-mail: chenzhiqi@nankai.edu.cn; Jifu Li, School of Science, Tianjin University of Technology, 1038 Dagu Nanlu, Hexi District, Tianjin 300384, P. R. China, e-mail: ljfanhan@126.com; Ming Ding (corresponding author), School of Mathematics and Information Science, Guangzhou University, 230 Wai Huan Xi Road, Guangzhou 510006, P. R. China, e-mail: dingming@nankai.edu.cn


 
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