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math.DG2022★ 5 cited
Integrable systems, Nijenhuis geometry and Lauricella bi-flat structures
Paolo Lorenzoni, Sara Perletti
Combining the construction of integrable systems of hydrodynamic type starting from the Frölicher-Nijenhuis bicomplex associated with a (1,1)-tensor field with vanish…
math.DG2022★ 9 cited
Regular non-semisimple Dubrovin-Frobenius manifolds
Paolo Lorenzoni, Sara Perletti
We study regular non-semisimple Dubrovin-Frobenius manifolds in dimensions 2,3,4. We focus on the case where the Jordan canonical form of the operator of multiplication by the Eule…