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 $\mathbb{C}$.
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