Fundamental vector field

id: fundamental-vector-field-253-18052022
title: Fundamental vector field
text: In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of Hamiltonian group actions.
brand slug: wiki
category slug: encyclopedia
description: Instrument in differential geometry
original url: https://en.wikipedia.org/wiki/Fundamental_vector_field
date created:
date modified: 2023-09-16T02:23:32Z
main entity: {"identifier":"Q5508976","url":"https://www.wikidata.org/entity/Q5508976"}
image:
fields total: 13
integrity: 14

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