WikiJournal of Science/Poisson manifold/XML
Appearance
<?xml version="1.0" encoding="UTF-8"?>
<doi_batch version="4.4.0" xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.crossref.org/schema/4.4.0 http://www.crossref.org/schema/deposit/crossref4.4.0.xsd">
<head>
<depositor>
<depositor_name>wkjm</depositor_name>
<email_address><span class="nowrap">Contact[[File:At sign.svg|alt=At sign|15px|@|link=]]WikiJSci.org</span></email_address>
</depositor>
<registrant>WEB-FORM</registrant>
</head>
<body>
<journal>
<journal_metadata>
<full_title>WikiJournal of Science/Poisson manifold</full_title>
<abbrev_title>Wiki.J.Sci.</abbrev_title>
<issn media_type='electronic'>2002-4436 / 2470-6345 / 2639-5347</issn>
<doi_data>
<doi>10.15347/WJS</doi>
<resource>http://www.WikiJSci.org/</resource>
</doi_data>
</journal_metadata>
<journal_issue>
<publication_date media_type='online'>
<year>2024</year>
</publication_date>
<journal_volume>
<volume></volume>
</journal_volume>
<issue></issue>
</journal_issue>
<journal_article publication_type='full_text'>
<titles>
<title>Poisson manifold</title>
</titles>
<contributors>
<person_name sequence='first' contributor_role='author'>
<surname></surname>
</person_name><person_name sequence='additional' contributor_role='contributors'>
<surname>et al.</surname><affiliation>Wikipedia editors of Poisson manifold</affiliation><link>https://xtools.wmflabs.org/articleinfo/en.wikipedia.org/Poisson_manifold//2024-11-10</link>
</person_name>
</contributors>
<publication_date media_type='online'>
<year>2024</year>
</publication_date>
<doi_data>
<doi></doi>
<resource>https://en.wikiversity.org/wiki/WikiJournal of Science/Poisson manifold</resource>
</doi_data>
</journal_article>
</journal>
<article>
<permissions>
<license license-type="open-access">
<license-p>[[File:Open_Access_logo_PLoS_white.svg|11px|link=Wikipedia:Open Access]] [[File:Cc.logo.circle.svg|16px|link=Wikipedia:Creative Commons]]
This is an open access article distributed under the [http://creativecommons.org/licenses/by-sa/3.0/ Creative Commons Attribution ShareAlike License], which permits unrestricted use, distribution, and reproduction, provided the original author and source are credited.</license-p>
</license>
</permissions>
<abstract>
</p>
In differential geometry, a field in mathematics, a Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in turn generalises the phase space from Hamiltonian mechanics. A Poisson structure (or Poisson bracket) on a smooth manifold is a function on the vector space of smooth functions on , making it into a Lie algebra subject to a Leibniz rule (also known as a Poisson algebra). Poisson structures on manifolds were introduced by André Lichnerowicz in 1977 and are named after the French mathematician Siméon Denis Poisson, due to their early appearance in his works on analytical mechanics.
</p>
</abstract>
</article>
</body>
</doi_batch>