F-manifolds are complex manifolds with a multiplication with unit on the holomorphic tangent bundle with a certain integrability condition. Here, the local classification of 3-dimensional F-manifolds with or without Euler fields is pursued.

中文翻译：

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3 维 F 流形

F-流形是在具有一定可积性条件的全纯切丛上与单位相乘的复流形。在这里，追求有或没有欧拉场的 3 维F流形的局部分类。