An approach to Hamiltonian mechanics on glued symplectic pseudomanifolds

• Autorzy: Batubenge A. , Sasin W.
• Języki publikacji: EN

Abstrakty

EN

We define a class of Frolicher spaces locally diffeomorphic to Frolicher subspaces of the Euclidean space Rn and we call them pseudomanifolds. These differential constructs carry symplectic geometry so that Hamiltonian systems are naturally introduced. When gluing together symplectic pseudomanifolds which intersect transversally, it turns out that up to an equivalence relation, the glued space is symplectic and smooth integral curves extend to singular points.

Słowa kluczowe

EN

Frolicher space; pseudomanifold; Hamiltonian mechanics; constant dimension

PL

przestrzeń Frolichera; pseudorozmaitość; mechanika Hamiltoniana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 4
• Strony: 941--960
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Batubenge A.

autor

Sasin W.

• School of Mathematics Wits University, Johannensburg Private Bag 3, Wits 2050 South Africa,

Bibliografia

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