Morse theory for fixed points of symplectic diffeomorphisms
نویسندگان
چکیده
منابع مشابه
Fixed points of symplectic tranformations
Let (M,ω) be a closed symplectic manifold. Given a function H : M → R the Hamiltonian vector field XH determined by the Hamiltonian H is defined by the formula XH ω = −dH. Then LXHω = 0, and hence the flow generated by XH preserves the symplectic form ω. If one has a family of functions Ht : M → R, t ∈ [0, 1], one gets a family of Hamiltonian vector fields XHt which generate an isotopy ft : M →...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1987
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1987-15517-0