symplectic geometry
higher symplectic geometry
geometry
differential geometry
almost symplectic structure, metaplectic structure, metalinear structure
symplectic form, n-plectic form
symplectic Lie n-algebroid
symplectic manifold
Poisson manifold, Poisson Lie algebroid
Poisson n-algebra
Courant Lie 2-algebroid
symplectic infinity-groupoid
symplectomorphism, symplectomorphism group
symplectic vector field, Hamiltonian vector field
symplectic gradient
Hamiltonian action, moment map
symplectic reduction, BRST-BV formalism
isotropic submanifold, Lagrangian submanifold, polarization
Hamiltonian mechanics
quantization
deformation quantization,
geometric quantization, higher geometric quantization
geometric quantization of symplectic groupoids
prequantum line bundle, prequantum circle n-bundle
contact manifold, contactomorphism
contact form, Reeb vector field
quantomorphism group, quantomorphism n-group
Poisson bracket, Poisson algebra
Poisson bracket Lie n-algebra
Heisenberg Lie algebra, Heisenberg Lie n-algebra
Heisenberg group
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In contact geometry given a contact 1-form α\alpha, then a Reeb vector field RR is a vector field satisfying
α(R)=1\alpha(R) = 1,
dα(R,−)=0d\alpha(R,-) = 0.
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Last revised on April 4, 2023 at 19:12:45. See the history of this page for a list of all contributions to it.