具有最终单位元的正则 F-流形
Regular F -manifolds with eventual identities
AI总结：
本文研究正则 F-流形上最终单位元的方程求解，构造保持对偶乘法的对偶坐标系，并由此得到 Nijenhuis 算子族。
摘要：
给定一个 F-流形，可以利用所谓的最终单位元构造一个对偶乘法（推广了 Dubrovin 引入的近对偶 Frobenius 流形的思想），其定义保证了对偶对象也是一个 F-流形。本文针对正则（即非半单）F-流形求解最终单位元所满足的方程，并构造一个对偶坐标系，使得对偶乘法在该坐标系下得以保持。作为应用，构造了 Nijenhuis 算子族。
英文摘要：
Given an F-manifold one may construct a dual multiplication (generalizing the idea of an almost-dual Frobenius manifold introduced by Dubrovin) using a so-called eventual identity, the definition of which ensure that the dual object is also an F-manifold. In this paper we solve the equations for an eventual identity for a regular (so non-semi-simple) F-manifold and construct a dual coordinate system in which dual multiplication is preserved. As an application, families of Nijenhuis operators are constructed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
