A note on the relationship between rational and trigonometric solutions of the WDVV equations

被引：13
|
作者：
Riley, Andrew [1 ]
Strachan, Ian A. B.
机构：
[1] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England
[2] Univ Glasgow, Dept Math, Glasgow G12 8QQ, Lanark, Scotland
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2007年 / 14卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.2991/jnmp.2007.14.1.7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Legendre transformations provide a natural symmetry on the space of solutions to the WDVV equations, and more specifically, between different Frobenius manifolds. In this paper a twisted Legendre transformation is constructed between solutions which define the corresponding dual Frobenius manifolds. As an application it is shown that certain trigonometric and rational solutions of the WDVV equations are related by such a twisted Legendre transform.
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页码：82 / 94
页数：13
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