scientific article

S. P. Novikov, A. T. Fomenko, B. A. Dubrovin

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Sphere bundles and vector bundles in algebraic topology (55R25) Vector fields, frame fields in differential topology (57R25) Covering spaces and low-dimensional topology (57M10) Differential geometry of homogeneous manifolds (53C30) Homotopy groups, general; sets of homotopy classes (55Q05) Relativistic cosmology (83F05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Variational principles in infinite-dimensional spaces (58E30) Degree, winding number (55M25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08) Characteristic classes and numbers in differential topology (57R20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) General properties and structure of complex Lie groups (22E10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Differential geometry of symmetric spaces (53C35) Surfaces in Euclidean and related spaces (53A05) Fixed points and coincidences in algebraic topology (55M20) Fundamental group, presentations, free differential calculus (57M05) General properties and structure of real Lie groups (22E15) Foliations in differential topology; geometric theory (57R30) Complex manifolds (32Q99) Geodesic flows in symplectic geometry and contact geometry (53D25) Critical points and critical submanifolds in differential topology (57R70) Differentiable mappings in differential topology (57R35) Connections (general theory) (53C05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Hyperbolic equations on manifolds (58J45) Fiber bundles in algebraic topology (55R10) Fiber spaces in algebraic topology (55R05) Homotopy groups of spheres (55Q40) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Hopf invariants (55Q25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes (57-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology (55-01) Whitehead products and generalizations (55Q15) Stratifications in topological manifolds (57N80) Classical field theories (70Sxx)

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