Symplectic manifold

id: symplectic-manifold-253-6192272
title: Symplectic manifold
text: In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M , equipped with a closed nondegenerate differential 2-form ω , called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology. Symplectic manifolds arise naturally in abstract formulations of classical mechanics and analytical mechanics as the cotangent bundles of manifolds. For example, in the Hamiltonian formulation of classical mechanics, which
brand slug: wiki
category slug: encyclopedia
description: Type of manifold in differential geometry
original url: https://en.wikipedia.org/wiki/Symplectic_manifold
date created:
date modified: 2024-02-12T10:43:00Z
main entity: {"identifier":"Q1064500","url":"https://www.wikidata.org/entity/Q1064500"}
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fields total: 13
integrity: 14

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