Tautological one-form

id: tautological-one-form-203-15937680
title: Tautological one-form
text: In mathematics, the tautological one-form is a special 1-form defined on the cotangent bundle T ∗ Q of a manifold Q. In physics, it is used to create a correspondence between the velocity of a point in a mechanical system and its momentum, thus providing a bridge between Lagrangian mechanics and Hamiltonian mechanics. The exterior derivative of this form defines a symplectic form giving T ∗ Q the structure of a symplectic manifold. The tautological one-form plays an important role in relating th
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Tautological_one-form
date created: 2005-05-08T00:18:37Z
date modified: 2024-09-09T20:55:19Z
main entity: {"identifier":"Q1014878","url":"https://www.wikidata.org/entity/Q1014878"}
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integrity: 14

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