On classification and construction of algebraic Frobenius manifolds

Yassir Ibrahim Dinar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

Original languageEnglish
Pages (from-to)1171-1185
Number of pages15
JournalJournal of Geometry and Physics
Issue number9
Publication statusPublished - Sept 2008
Externally publishedYes


  • Bi-Hamiltonian manifolds
  • Dirac reduction
  • Frobenius manifolds
  • Integrable systems

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology


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