About: Hypercomplex manifold

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In differential geometry, a hypercomplex manifold is a manifold with the tangent bundleequipped with an action by the algebra of quaternionsin such a way that the quaternions define integrable almost complex structures. If the almost complex structures are instead not assumed to be integrable, the manifold is called quaternionic, or almost hypercomplex.

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rdfs:label	Hypercomplex manifold (en)
rdfs:comment	In differential geometry, a hypercomplex manifold is a manifold with the tangent bundleequipped with an action by the algebra of quaternionsin such a way that the quaternions define integrable almost complex structures. If the almost complex structures are instead not assumed to be integrable, the manifold is called quaternionic, or almost hypercomplex. (en)
dcterms:subject	Complex manifolds Structures on manifolds
Wikipage page ID	6990840 (xsd:integer)
Wikipage revision ID	1114032004 (xsd:integer)
Link from a Wikipage to another Wikipage	Module (mathematics) Almost complex manifold Complex manifolds Hyperkähler manifold Quaternions Structures on manifolds Nuclear Physics (journal) Tangent bundle Quaternionic manifold Misha Verbitsky Hopf surface Proceedings of the American Mathematical Society Affine connection Edmond Bonan Journal of Differential Geometry Charles Ehresmann K3 surface Differential geometry Dominic Joyce Manifold Kähler manifold Twistor space Hodge decomposition dbr:Dmitry_Kaledin
sameAs	Hypercomplex manifold Hypercomplex manifold Hypercomplex manifold Hypercomplex manifold
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Refbegin dbt:Refend dbt:Reflist dbt:Short_description
has abstract	In differential geometry, a hypercomplex manifold is a manifold with the tangent bundleequipped with an action by the algebra of quaternionsin such a way that the quaternions define integrable almost complex structures. If the almost complex structures are instead not assumed to be integrable, the manifold is called quaternionic, or almost hypercomplex. (en)
prov:wasDerivedFrom	wikipedia-en:Hypercomplex_manifold?oldid=1114032004&ns=0
page length (characters) of wiki page	6980 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hypercomplex_manifold
is Link from a Wikipage to another Wikipage of	List of differential geometry topics Hyperkähler manifold Quaternionic manifold Hopf manifold Edmond Bonan Fractal-generating software
is foaf:primaryTopic of	wikipedia-en:Hypercomplex_manifold

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