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Hamiltonian vector field and reduction on Symplectic Manifold

Title
Hamiltonian vector field and reduction on Symplectic Manifold
Authors
최미라
Issue Date
2000
Department/Major
대학원 수학과
Keywords
HamiltonianvectorfieldSymplecticManifold
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
We review briefly Hamiltonian vector fields on symplectic manifolds. We review briefly the reduction of a symplectic manifold by a Hamiltonian action of a Lie group . We study the properties of Hamiltonian vecter field and symplectic reduction, and give some examples of them.;이 논문에서는 Syirplectic 다양체에서의 Hamiltonian 벡터장에 관해 소개한다. Lie 군의 Hamiltonian 작용에 의한 Symplectic 다양체의 reduction을 소개한다. Hamiltonian vector장과 Symplectic reduction의 성질을 조사하고 예를 소개한다.
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일반대학원 > 수학과 > Theses_Master
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