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On metrics of diagonal curvature (Q2202815)

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Language	Label	Description	Also known as
English	On metrics of diagonal curvature	scientific article

Statements

scholarly article

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On metrics of diagonal curvature (English)

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Journal of Mathematical Sciences (New York)

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publication date

30 September 2020

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zbMATH Keywords

Haantjes tensor

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Ricci affinor

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10958-020-04912-z

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On orthogonal curvilinear coordinate systems in constant curvature spaces

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Existence of elastic deformations with prescribed principal strains and triply orthogonal systems

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Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type

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Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations

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Orthogonal curvilinear coordinate systems corresponding to singular spectral curves

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Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems

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Compatible and almost compatible metrics

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Compatible and almost compatible pseudo-Riemannian metrics

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Flat pencils of metrics and integrable reductions of Lamé's equations

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Integrability of the equations for nonsingular pairs of compatible flat metrics

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Compatible metrics of constant Riemannian curvature: local geometry, nonlinear equations, and integrability

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Lax pairs for equations describing compatible nonlocal Poisson brackets of hydrodynamic type and integrable reductions of the Lamé equations

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Riemann invariants of semisimple non-locally bi-Hamiltonian systems of hydrodynamic type and compatible metrics

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Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type

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Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature

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THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD

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Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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Identifiers

zbMATH Open document ID

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10.1007/s10958-020-04912-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2202815

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