Differential forms canonically associated to even-dimensional compact conformal manifolds
| dc.creator | Ugalde, William J. | |
| dc.date | 2002-11-15 | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-07T04:52:58Z | |
| dc.date.available | 2026-07-07T04:52:58Z | |
| dc.description | On a 6-dimensional, conformal, oriented, compact manifold $M$ without boundary, we compute a whole family of differential forms $Ω_6(f,h)$ of order 6, with $f,h \in C^\infty(M).$ Each of these forms will be symmetric on $f,$ and $h,$ conformally invariant, and such that $\int_M f_0 Ω_6(f_1,f_2)$ defines a Hochschild 2-cocycle over the algebra $C^\infty(M).$ In the particular 6-dimensional conformally flat case, we compute the unique one satisfying $\Wres(f_0[F,f][F,h]) = \int_M f_0Ω_6(f,h)$ for $(\cH,F)$ the Fredholm module associated by A. Connes \cite{Con1} to the manifold $M,$ and $\Wres$ the Wodzicki residue. | |
| dc.description | 13 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0211240 | |
| dc.identifier | http://arxiv.org/abs/math/0211240 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65671 | |
| dc.subject | Differential Geometry | |
| dc.subject | Operator Algebras | |
| dc.subject | 53A30; 46L87 | |
| dc.title | Differential forms canonically associated to even-dimensional compact conformal manifolds | |
| dc.type | text |