On compatible diagonal metrics

DOI10.1070/RM10031zbMath1490.53018OpenAlexW4206493252MaRDI QIDQ5068122

Oleg I. Mokhov, Aleksandr M. Gagonov

Publication date: 5 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10031

zbMATH Keywords

integrable systemsHamiltonian and bi-Hamiltonian theory

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45)

Cites Work

• Unnamed Item
• The classification of nonsingular multidimensional Dubrovin-Novikov brackets
• Dubrovin-Novikov type Poisson brackets (DN-brackets)
• Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
• Compatible Poisson structures of hydrodynamic type and the equations of associativity in two-dimensional topological field theory
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• Compatible and almost compatible pseudo-Riemannian metrics

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