Lagrange and Legendre cobordisms. I

DOI10.1007/BF01086179zbMath0457.57015MaRDI QIDQ1151180

Vladimir I. Arnold

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

wave frontgroups of cylindrical and stable cobordism classesLagrange border of a Lagrange manifoldLagrange cobordantLagrange manifold of a phase spaceLegendre cobordismsLegendre manifold in the manifold of contact elementswave system in a configuration space

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Other types of cobordism (57R90) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (5)

Aspects of functoriality in homological mirror symmetry for toric varieties ⋮ A note on Lagrangian intersections and Legendrian cobordism ⋮ Notes on a category-theoretic definition of Maslov classes of a Lagrangian manifold ⋮ Exact Lagrangian cobordism and pseudo-isotopy ⋮ Stein structures and holomorphic mappings

Cites Work

• Cobordism of pairs
• Fourier integral operators. I
• Wave front evolution and equivariant Morse lemma
• Cobordism groups of immersions
• Unnamed Item

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