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Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
General models, approaches, and methods
Hamiltonian and Lagrangian mechanics
skos:inScheme
MSC 2010
broader concept
Differential geometry
narrower concept
Symplectic manifolds, general
Contact manifolds, general
Lagrangian submanifolds; Maslov index
Almost contact and almost symplectic manifolds
Poisson manifolds; Poisson groupoids and algebroids
Generalized geometries (á la Hitchin)
Momentum maps; symplectic reduction
Canonical transformations
Geodesic flows
Symplectic structures of moduli spaces
Global theory of symplectic and contact manifolds
Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category
Floer homology and cohomology, symplectic aspects
Symplectic field theory; contact homology
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
Geometric quantization
Deformation quantization, star products
None of the above, but in MSC2010 section 53Dxx
skos:prefLabel
Geometria simplettica, geometria di contatto
Symplectic geometry, contact geometry
辛几何, 接触几何
skos:exactMatch
http://msc2010.org/resources/MSC/2000/53Dxx
skos:altLabel
Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
Geometria simplettica, geometria di contatto [Vedi anche 37Jxx, 70Gxx, 70Hxx]
辛几何, 接触几何[参见37Jxx, 70Gxx, 70Hxx]
http://msc2010.org...0/msc2010#seeAlso
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
General models, approaches, and methods
Hamiltonian and Lagrangian mechanics
skos:notation
53Dxx
skos:note
See also 37Jxx, 70Gxx, 70Hxx.
skos:semanticRelation
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
General models, approaches, and methods
Hamiltonian and Lagrangian mechanics
is
rdfs:seeAlso
of
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.)
is
broader concept
of
Symplectic manifolds, general
Contact manifolds, general
Lagrangian submanifolds; Maslov index
Almost contact and almost symplectic manifolds
Poisson manifolds; Poisson groupoids and algebroids
Generalized geometries (á la Hitchin)
Momentum maps; symplectic reduction
Canonical transformations
Geodesic flows
Symplectic structures of moduli spaces
Global theory of symplectic and contact manifolds
Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category
Floer homology and cohomology, symplectic aspects
Symplectic field theory; contact homology
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
Geometric quantization
Deformation quantization, star products
None of the above, but in MSC2010 section 53Dxx
is
narrower concept
of
Differential geometry
is
http://msc2010.org...0/msc2010#seeAlso
of
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.)
is
skos:semanticRelation
of
Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.)
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