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The Hamiltonian formalism and a many-valued analogue of Morse theory
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CONTENTS Introduction § 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the B -phase of 3 He § 2. The Hamiltonian formalism of systems of hydrodynamic origin § 3. What is Morse (LSM) theory? § 4. Equations of Kirchhoff type and the Dirac monopole § 5. Many-valued functional and an analogue of Morse theory. The periodic problem for equations of Kirchhoff type. Chiral fields in an external field § 6. Many-valued functions on finite-dimensional manifolds. An analogue of Morse theory References
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Cites
A simple model of the integrable Hamiltonian equation
Magri, F. (1978) · Journal of Mathematical Physics · doi:10.1063/1.523777 · Cited by 1,350
Wall, C. (1999) · Mathematical Surveys and Monographs · doi:10.1090/surv/069 · Cited by 1,238
Kervaire, M. A., & Milnor, J. W. (1963) · The Annals of Mathematics · doi:10.2307/1970128 · Cited by 904
Adler, M. (1978) · Inventiones mathematicae · doi:10.1007/bf01410079 · Cited by 747
The Stable Homotopy of the Classical Groups
Bott, R. (1959) · The Annals of Mathematics · doi:10.2307/1970106 · Cited by 482
Poisson brackets in condensed matter physics
Dzyaloshinskii, I. E., & Volovick, G. E. (1980) · Annals of Physics · doi:10.1016/0003-4916(80)90119-0 · Cited by 443
Surgery on Simply-Connected Manifolds
Browder, W. (1972) · Springer eBooks · doi:10.1007/978-3-642-50020-6 · Cited by 435
Fractional powers of operators
Komatsu, H. (1966) · Pacific Journal of Mathematics · doi:10.2140/pjm.1966.19.285 · Cited by 389
Smale, S. (1962) · American Journal of Mathematics · doi:10.2307/2372978 · Cited by 379
Riemannsche Geometrie im Großen
Gromoll, D., Meyer, W., & Klingenberg, W. (1975) · Lecture Notes in Mathematics · doi:10.1007/bfb0079185 · Cited by 357
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Birmingham, D. (1991) · Physics Reports · doi:10.1016/0370-1573(91)90117-5 · Cited by 830
Metadata
- Authors
- Novikov, S. P.
- Venue
- Russian Mathematical Surveys
- Publisher
- Steklov Mathematical Institute
- Published
- 1982-10-31
- Volume
- 37
- Issue
- 5
- Pages
- 1-56
- ISSN
- 0036-0279 (ISSN-L)
- 1468-4829
- OpenAlex
- W1978749218
- Cited by
- 368
- References
- 13
- FWCI
- 3.13
- Type
- journal article
- Language
- en
- Open access
- bronze
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