一类广义Frobenius流形及其可积层次的Legendre变换

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-05-07 DOI:10.1007/s00220-025-05289-3

Si-Qi Liu, Haonan Qu, Youjin Zhang

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引用次数: 0

摘要

对于由legende型变换关联的两个广义Frobenius流形，我们证明了水动力型的相关可积层次（legende -扩展主层次）是由一定的线性倒变换关联的；在半简单性条件下，我们还证明了这些legende -扩展主层次的拓扑变形是由相同的线性互反变换联系起来的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Legendre Transformations of a Class of Generalized Frobenius Manifolds and the Associated Integrable Hierarchies

For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended Principal Hierarchies, are related by a certain linear reciprocal transformation; we also show, under the semisimplicity condition, that the topological deformations of these Legendre-extended Principal Hierarchies are related by the same linear reciprocal transformation.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.