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On the bi-Hamiltonian Geometry of WDVV Equations

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 نشر من قبل Raffaele Vitolo
 تاريخ النشر 2014
  مجال البحث فيزياء
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We consider the WDVV associativity equations in the four dimensional case. These nonlinear equations of third order can be written as a pair of six component commuting two-dimensional non-diagonalizable hydrodynamic type systems. We prove that these systems possess a compatible pair of local homogeneous Hamiltonian structures of Dubrovin--Novikov type (of first and third order, respectively).



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