Duality of subanalytic sets
| dc.creator | Pointet, Francois | |
| dc.date | 1997-06-10 | |
| dc.date | 1997-06-11 | |
| dc.date.accessioned | 2026-07-07T09:02:53Z | |
| dc.date.available | 2026-07-07T09:02:53Z | |
| dc.description | We study the link between a compact hypersurface in $¶^{n+1}$ and the set of all its tangent planes. In this context, we identify $¶^{n+1}$ to the set of linear subspaces of codimension one by orthogonal complementarity. This gives rise to a kind of duality which has already been studied Bruce and Romerro-Fuster, and relates a hypersurface to the set of its tangent planes. But in these papers the dual, in this sense, of the set of tangent planes of a hypersurface was not defined and iteration of the procedure was not possible. Therefore we extend this type of duality to more general sets and achieve a procedure which can be iterated and gives in fact an involution. | |
| dc.description | LaTex, 20 pages, submitted to Geometriae Dedicata | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9706007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9706007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148798 | |
| dc.subject | Differential Geometry | |
| dc.subject | 32B20 (primary) | |
| dc.title | Duality of subanalytic sets | |
| dc.type | text |