Kaehler-Nijenhuis Manifolds
| dc.creator | Vaisman, Izu | |
| dc.date | 2003-01-02 | |
| dc.date.accessioned | 2026-07-07T04:54:13Z | |
| dc.date.available | 2026-07-07T04:54:13Z | |
| dc.description | A Kaehler-Nijenhuis manifold is a Kaehler manifold M, with metric g, complex structure J and Kaehler form F, endowed with a Nijenhuis tensor field A that is compatible with the Poisson stucture defined by F in the sense of the theory of Poisson-Nijenhuis structures. If this happens, and if either AJ=JA or AJ=-JA, M is foliated by im A into non degenerate Kaehler-Nijenhuis submanifolds. If A is a non degenerate (1,1)-tensor field on M, (M,g,J,A) is a Kaehler-Nijenhuis manifold iff one of the following two properties holds: 1) A is associated with a symplectic structure of M that defines a Poisson structure compatible with the Poisson structure defined by F; 2) A and its inverse are associated with closed 2-forms. On a Kaehler-Nijenhuis manifold, if A is non degenerate and AJ=-JA, A must be a parallel tensor field. | |
| dc.description | LaTex, 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301005 | |
| dc.identifier | http://arxiv.org/abs/math/0301005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66160 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53C55; 53D17 | |
| dc.title | Kaehler-Nijenhuis Manifolds | |
| dc.type | text |