Conformally invariant Cotton and Bach tensor in N-dimensions
| dc.creator | Listing, Mario | |
| dc.date | 2004-08-17 | |
| dc.date.accessioned | 2026-07-07T05:11:19Z | |
| dc.date.available | 2026-07-07T05:11:19Z | |
| dc.description | This paper presents conformal invariants for Riemannian manifolds of dimension greater than or equal to four whose vanishing is necessary for a Riemannian manifold to be conformally related to an Einstein space. One of the invariants is a modification of the Cotton tensor, the other is a $n$--dimensional version of the Bach tensor. In general both tensors are smooth only on an open and dense subset of $M$, but this subset is invariant under conformal transformations. Moreover, we generalize the main result of "Conformal Einstein Spaces in $N$--Dimensions" published in \emph{Ann. Global Anal. Geom.} {\bf 20}(2) (2001). | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408224 | |
| dc.identifier | http://arxiv.org/abs/math/0408224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72203 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30; 53A55 | |
| dc.title | Conformally invariant Cotton and Bach tensor in N-dimensions | |
| dc.type | text |