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Dokl. Akad. Nauk SSSR, 1978, Volume 238, Number 5, Pages 1028–1031 (Mi dan41521)  

This article is cited in 12 scientific papers (total in 13 papers)

MATHEMATICS

A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints

A. M. Vinogradov

Lomonosov Moscow State University

Full text: PDF file (610 kB)

Bibliographic databases:
UDC: 513.832/835
Presented: В. С. Владимиров
Received: 20.10.1977

Citation: A. M. Vinogradov, “A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints”, Dokl. Akad. Nauk SSSR, 238:5 (1978), 1028–1031

Citation in format AMSBIB
\Bibitem{Vin78}
\by A.~M.~Vinogradov
\paper A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints
\jour Dokl. Akad. Nauk SSSR
\yr 1978
\vol 238
\issue 5
\pages 1028--1031
\mathnet{http://mi.mathnet.ru/dan41521}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=0483733}
\zmath{https://zbmath.org/?q=an:0406.58015}


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

    This publication is cited in the following articles:
    1. A. M. Vinogradov, “Some homology systems associated with the differential calculus in commutative algebras”, Russian Math. Surveys, 34:6 (1979), 250–255  mathnet  crossref  mathscinet  zmath
    2. S. P. Novikov, “The Hamiltonian formalism and a many-valued analogue of Morse theory”, Russian Math. Surveys, 37:5 (1982), 1–56  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. S. V. Duzhin, “A $\mathscr C$-spectral sequence on the manifold $J^1M$”, Russian Math. Surveys, 38:1 (1983), 179–181  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. S. V. Duzhin, “A spectral sequence related to a foliation, and the cohomology of some Lie algebras of vector fields”, Russian Math. Surveys, 39:1 (1984), 147–148  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    5. V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383  mathnet  crossref  mathscinet  zmath
    6. V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751  mathnet  crossref  mathscinet  zmath  isi
    7. V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60  mathnet  crossref  mathscinet  zmath
    8. V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45  mathnet  crossref  mathscinet  zmath  isi
    9. M. Palese, E. Winterroth, “The relation between the Jacobi morphism and the Hessian in gauge-natural field theories”, Theoret. and Math. Phys., 152:2 (2007), 1191–1200  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    11. A. M. Verbovetsky, R. Vitolo, P. Kersten, I. S. Krasil'shchik, “Integrable structures for a generalized Monge–Ampère equation”, Theoret. and Math. Phys., 171:2 (2012), 600–615  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    12. V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    13. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375  mathnet  crossref  crossref  isi
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