Blow-up of regular submanifolds in Heisenberg groups and applications
| dc.creator | Magnani, Valentino | |
| dc.date | 2005-06-22 | |
| dc.date.accessioned | 2026-07-07T05:20:54Z | |
| dc.date.available | 2026-07-07T05:20:54Z | |
| dc.description | We obtain a blow-up theorem for regular submanifolds in the Heisenberg group, where intrinsic dilations are used. Main consequence of this result is an explicit formula for the density of (p+1)-dimensional spherical Hausdorff measure restricted to a p-dimensional submanifold with respect to the Riemannian surface measure. We explicitly compute this formula in some simple examples and we present a lower semicontinuity result for the spherical Hausdorff measure with respect to the weak convergence of currents. Another application is the proof of an intrinsic coarea formula for vector-valued mappings on the Heisenberg group. | |
| dc.identifier | https://arxiv.org/abs/math/0506445 | |
| dc.identifier | http://arxiv.org/abs/math/0506445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75553 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 28A75; 22E25 | |
| dc.title | Blow-up of regular submanifolds in Heisenberg groups and applications | |
| dc.type | text |