Conjugate Frobenius Manifold and Inversion Symmetry

Zainab Al-Maamari, Yassir Dinar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number23
JournalMathematical Physics Analysis and Geometry
Volume25
Issue number3
DOIs
Publication statusPublished - Sep 2022

Keywords

  • Flat pencil of metrics
  • Frobenius manifold
  • Inversion symmetry
  • Poisson bracket of hydrodynamic type
  • WDVV equations

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

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