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On the classification of $3$-dimensional $F$-manifold algebras
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1191-1204
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$F$-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 $\mathbb {C}$.
$F$-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 $\mathbb {C}$.
DOI : 10.21136/CMJ.2022.0017-22
Classification : 17A30, 17B60
Keywords: $F$-manifold; Poisson algebra; $F$-manifold algebra 
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Chen, Zhiqi; Li, Jifu; Ding, Ming. On the classification of $3$-dimensional  $F$-manifold algebras. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1191-1204. doi: 10.21136/CMJ.2022.0017-22

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