Conjugate Frobenius manifold and inversion symmetry
Zainab Al-Maamari, Yassir Dinar
TL;DR
This paper explores a conjugacy relation in Frobenius manifolds via flat pencils of metrics, providing a geometric interpretation of inversion symmetry in solutions to WDVV equations.
Contribution
It introduces a conjugacy relation on Frobenius manifolds and offers a geometric perspective on inversion symmetry in WDVV solutions.
Findings
Established a conjugacy relation using flat pencils of metrics.
Provided a geometric interpretation for inversion symmetry.
Enhanced understanding of Frobenius manifold structures.
Abstract
We give a conjugacy relation on certain type of Frobenius manifold structures using the theory of flat pencils of metrics. It leads to a geometric interpretation for the inversion symmetry of solutions to Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Algebra and Geometry · Algebraic structures and combinatorial models