On the obstruction to integrability of almost-complex structures

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dc.creatorYumaguzhin, Valeriy A.
dc.date2008-04-04
dc.date.accessioned2026-07-07T09:30:27Z
dc.date.available2026-07-07T09:30:27Z
dc.descriptionThe natural bundle $π:E\to M$ of almost-complex structures is considered. The action of the pseudogroup of all diffeomorphisms of $M$ on the total space $E$ is investigated. A nontrivial 1-st order differential invariant of this action is constructed. It is proved that the Nijenhuise tensor of an almost-complex structures is equal to zero iff the constructed invariant for this structure is zero.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0804.0690
dc.identifierhttp://arxiv.org/abs/0804.0690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158127
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C15; 53A55; 53C10
dc.titleOn the obstruction to integrability of almost-complex structures
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