Symplectic Geometry and Its Applications, Volume 4Vladimir Igorevich Arnolʹd, Sergeĭ Petrovich Novikov |
Contents
Contents | 5 |
3 Families of Quadratic Hamiltonians | 12 |
Symplectic Manifolds | 22 |
Copyright | |
18 other sections not shown
Other editions - View all
Dynamical Systems IV: Symplectic Geometry and its Applications V.I. Arnol'd,S.P. Novikov No preview available - 2001 |
Common terms and phrases
A₁ action Anal arbitrary boundary canonical caustics chap characteristic classes coadjoint cobordism class codimension coefficients cohomology coincide commuting compact complex condition connected constant construction Corollary corresponding cotangent bundle critical points curve defined deformation denote diffeomorphism differential dimension English translation equal equivalent Euclidean example F₁ fibration fibre finite gap formula front geodesic geometric quantization germs Grassmann manifold group G Hamiltonian system Hermitian hypersurface immersed integral inverse scattering method isomorphic KdV equation Lagrangian fibration Lagrangian submanifold Legendre Lemma Let us consider level surface Lie algebra Lie group linear Maslov index Math matrix neighbourhood nondegenerate operator orbit P₁ P₂ parameter phase space Poisson bracket Poisson structure polarization poles polynomials prequantization Prilozh problem quadratic Hamiltonians representation sect singularities solutions subgroup subspace symmetry symplectic group symplectic manifold symplectic space symplectic structure symplectomorphism Theorem theory torus transformation unitary variables vector field zero