O. I. Mokhov, E. V. Ferapontov, “Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 60–63; Funct. Anal. Appl., 28:2 (1994), 123

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Funktsional'nyi Analiz i ego Prilozheniya, 1994, Volume 28, Issue 2, Pages 60–63 (Mi faa637)

This article is cited in 14 scientific papers (total in 14 papers)

Brief communications

Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature

O. I. Mokhov^a, E. V. Ferapontov^b

^a All-Russian Scientific Research Institute of Physical-Technical and Radiotechnical Measurements
^b Institute for Mathematical Modelling, Russian Academy of Sciences

Full-text PDF (395 kB) Citations (14)

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Received: 10.11.1992

English version:
Functional Analysis and Its Applications, 1994, Volume 28, Issue 2, Pages 123–125
DOI: https://doi.org/10.1007/BF01076502

Bibliographic databases:

Document Type: Article

UDC: 514.7

Language: Russian

Citation: O. I. Mokhov, E. V. Ferapontov, “Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 60–63; Funct. Anal. Appl., 28:2 (1994), 123–125

Citation in format AMSBIB

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\pages 60--63

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\transl

\jour Funct. Anal. Appl.

\yr 1994

\vol 28

\issue 2

\pages 123--125

\crossref{https://doi.org/10.1007/BF01076502}

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Linking options:

https://www.mathnet.ru/eng/faa637

https://www.mathnet.ru/eng/faa/v28/i2/p60

This publication is cited in the following 14 articles:

Pierandrea Vergallo, “Non-homogeneous Hamiltonian structures for quasilinear systems”, Boll Unione Mat Ital, 17:2 (2024), 513
Xin Hu, Matteo Casati, “Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure”, SIGMA, 20 (2024), 081, 17 pp.
Marta Dell'Atti, Pierandrea Vergallo, “Classification of degenerate non-homogeneous Hamiltonian operators”, Journal of Mathematical Physics, 64:3 (2023)
Pierandrea Vergallo, “Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures”, Math Phys Anal Geom, 25:4 (2022)
Maltsev A.Ya. Novikov S.P., “Poisson Brackets of Hydrodynamic Type and Their Generalizations”, J. Exp. Theor. Phys., 132:4, SI (2021), 645–657
O. I. Mokhov, “Pencils of compatible metrics and integrable systems”, Russian Math. Surveys, 72:5 (2017), 889–937
Andrea Savoldi, “On deformations of one-dimensional Poisson structures of hydrodynamic type with degenerate metric”, Journal of Geometry and Physics, 104 (2016), 246
O. I. Mokhov, “Integrability of the Equations for Nonsingular Pairs of Compatible Flat Metrics”, Theoret. and Math. Phys., 130:2 (2002), 198–212
O. I. Mokhov, “Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Hierarchies Related to Them”, Theoret. and Math. Phys., 132:1 (2002), 942–954
O. I. Mokhov, “Compatible Dubrovin–Novikov Hamiltonian Operators, Lie Derivative, and Integrable Systems of Hydrodynamic Type”, Theoret. and Math. Phys., 133:2 (2002), 1557–1564
O. I. Mokhov, “Compatible and Almost Compatible Pseudo-Riemannian Metrics”, Funct. Anal. Appl., 35:2 (2001), 100–110
I. Z. Golubchik, V. V. Sokolov, “Generalized Heisenberg equations on $\mathbb Z$ -graded Lie algebras”, Theoret. and Math. Phys., 120:2 (1999), 1019–1025
O. I. Mokhov, “On the Cohomology Groups of Complexes of Homogeneous Forms on Loop Spaces of Smooth Manifolds”, Funct. Anal. Appl., 32:3 (1998), 162–171
O. I. Mokhov, “Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems”, Russian Math. Surveys, 53:3 (1998), 515–622

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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