Poisson manifold

Mathematical structure in differential geometry

Class type of: differentiable manifold Q1464936

Facts

4 properties

Subclass of: differentiable manifold^[2]
Maintained by WikiProject: WikiProject Mathematics^[4]
Named after: Siméon Denis Poisson^[1]
Studied by: Poisson geometry^[3]

🏷️ Also known as

en Poisson geometry en Poisson manifold ar متنوعة بواسون de Poisson-Mannigfaltigkeit es variedad de Poisson es variedades de Poisson fr variété de Poisson it varietà di Poisson ja ポワソン多様体 ja ポアソン多様体 ko 푸아송 다양체 pt variedade de Poisson ru пуассоново многообразие zh 复泊松流形 zh 泊松双向量 zh 泊松映射 zh 泊松流形 zh 泊松结构

🔖 Identifiers · 9

OpenAlex ID: C197375991
Encyclopedia of China (Third Edition) ID (2026): 3CcQpR
Encyclopedia of China (Third Edition) old ID (2021): 139000
Encyclopedia of Mathematics article ID: Poisson_manifold
Freebase ID: /m/03lhvj
MathWorld ID: PoissonManifold
Microsoft Academic ID (discontinued): 197375991
NLab ID: Poisson manifold
ScienceDirect topic ID: mathematics/poisson-manifold

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🔗 Connections

Has these parts 1

Poisson bracket

Maintained by WikiProject 1

WikiProject Mathematics

Named after 1

Siméon Denis Poisson

Subclass of 1

differentiable manifold

Subtypes 1

symplectic manifold

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APA

4ort.xyz Knowledge Graph. (2026). Poisson manifold. Retrieved November 12, 2026, from https://4ort.xyz/entity/poisson-manifold

MLA “Poisson manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 12 Nov. 2026, https://4ort.xyz/entity/poisson-manifold.

BibTeX

@misc{4ortxyz_poisson-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poisson manifold}}, year = {2026}, url = {https://4ort.xyz/entity/poisson-manifold}, note = {Accessed: 2026-11-12}}

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According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Poisson manifold — https://4ort.xyz/entity/poisson-manifold (retrieved 2026-11-12)

Canonical URL: https://4ort.xyz/entity/poisson-manifold · Last refreshed: November 12, 2026

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

18w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗

Encyclopedia of China (Third Edition) ID (2026) → 3CcQpR

Studied by → Poisson geometry

Named after → Siméon Denis Poisson

Maintained by WikiProject → WikiProject Mathematics

+ 1 other property edited (see Wikidata diff for full list)

"Changed the item: QuickStatements 3.0 batch #40849: ZGBK ID"

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