Statements (98)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:classical_mechanics
mathematical physics |
| gptkbp:concerns |
closed nondegenerate 2-forms
|
| gptkbp:fieldOfStudy |
gptkb:mathematics
|
| gptkbp:hasConcept |
gptkb:Darboux's_theorem
gptkb:Moser's_trick gptkb:Arnold_conjecture gptkb:Gromov's_non-squeezing_theorem gptkb:Liouville's_theorem gptkb:Hamiltonian_vector_field gptkb:symplectomorphism gptkb:Marsden-Weinstein_reduction gptkb:mirror_symmetry gptkb:Floer_homology gptkb:Lagrangian_submanifold gptkb:Lagrangian_fibration gptkb:symplectic_transformation Kähler manifold contact geometry orthogonal group quantization Poisson bracket canonical transformation symplectic topology Hamiltonian system symplectic form cotangent bundle geometric quantization symplectic structure symplectic capacity symplectic embedding moment map almost complex structure symplectic vector space symplectic basis symplectic reduction J-holomorphic curve Maslov index Weinstein conjecture action-angle coordinates momentum map symplectic action symplectic area symplectic blow-up symplectic category symplectic cobordism symplectic cohomology symplectic connection symplectic curvature symplectic cut symplectic diffeomorphism symplectic energy symplectic field theory symplectic filling symplectic fixed point theorem symplectic foliation symplectic frame symplectic handlebody symplectic homology symplectic isotopy symplectic leaf symplectic packing symplectic potential symplectic structure on Calabi-Yau manifold symplectic structure on Grassmannian symplectic structure on K3 surface symplectic structure on Lie group symplectic structure on Poisson manifold symplectic structure on abelian variety symplectic structure on algebraic variety symplectic structure on complex manifold symplectic structure on cotangent bundle symplectic structure on elliptic surface symplectic structure on flag variety symplectic structure on four-manifold symplectic structure on homogeneous space symplectic structure on moduli space symplectic structure on orbifold symplectic structure on phase space symplectic structure on projective space symplectic structure on sphere symplectic structure on stack symplectic structure on supermanifold symplectic structure on surface symplectic structure on symmetric space symplectic structure on torus symplectic sum symplectic surgery toric symplectic manifold |
| https://www.w3.org/2000/01/rdf-schema#label |
Symplectic geometry
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
differential geometry |
| gptkbp:studies |
gptkb:symplectic_manifolds
|
| gptkbp:bfsParent |
gptkb:Torus_action
gptkb:Mirror_symmetry gptkb:Mirror_Symmetry |
| gptkbp:bfsLayer |
7
|