Symplectic vector field
id:
symplectic-vector-field-251-2934419
title:
Symplectic vector field
text:
In physics and mathematics, a symplectic vector field is one whose flow preserves a symplectic form. That is, if is a symplectic manifold with smooth manifold M and symplectic form ω , then a vector field X ∈ X in the Lie algebra X is symplectic if its flow preserves the symplectic structure. In other words, the Lie derivative of the vector field must vanish: An alternative definition is that a vector field is symplectic if its interior product with the symplectic form is closed. The equivalence
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Symplectic_vector_field
date created:
date modified:
2024-03-04T05:52:41Z
main entity:
{"identifier":"Q7661853","url":"https://www.wikidata.org/entity/Q7661853"}
image:
fields total:
13
integrity:
13