Reconstruction of the intertwining operator and new striking examples added to``Isospectral pairs of metrics on balls and spheres with different local geometries''
| dc.creator | Szabo, Z. I. | |
| dc.date | 2005-10-10 | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T09:20:35Z | |
| dc.date.available | 2026-07-07T09:20:35Z | |
| dc.description | The intertwining operator constructed in [Sz1,Sz2] does not appear in the right form. It is established there by using only the anticommutators. The correct operator must involve all endomorphisms, which are unified by the Z-Fourier transform. Although some of the correct elements of the previous constructions are kept, this idea is established by a new technique which yields the various isospectrality theorems stated in the papers on a much larger scale. The new results include new isospectrality examples living on sphere$X$ball- and sphere$X$sphere-type manifolds. Among them, there are such discrete isospectrality families where one of the members is homogeneous while the others are locally inhomogeneous (striking examples). Furthermore, a large class of new isospectrality families are constructed by $σ$ deformations. | |
| dc.description | 43 pages. Completely new version. The constructions developed in the previous version are moved to a new paper | |
| dc.identifier | https://arxiv.org/abs/math/0510202 | |
| dc.identifier | http://arxiv.org/abs/math/0510202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154770 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58G25; 53C20 | |
| dc.title | Reconstruction of the intertwining operator and new striking examples added to``Isospectral pairs of metrics on balls and spheres with different local geometries'' | |
| dc.type | text |