New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy
| dc.creator | Ebenfelt, Peter | |
| dc.date | 1998-04-01 | |
| dc.date | 1998-04-29 | |
| dc.date.accessioned | 2026-07-07T05:24:16Z | |
| dc.date.available | 2026-07-07T05:24:16Z | |
| dc.description | We introduce new invariant tensors in CR structures which can be viewed as higher order Levi forms. Using the second and third order tensors, we give a complete formal normal form (in the sense of Chern-Moser) for a real hypersurface at a generic Levi degeneracy. (We say that M has a generic Levi degeneracy at p if the Levi determinant vanishes at p but its differential does not, and the set of Levi degenerate points of M is transverse to the Levi null space at p.) By applying a convergence theorem for formal mappings due to the author, Baouendi, and Rothschild, we conclude that the above mentioned formal normal form provides a complete set of biholomorphic invariants for real-analytic hypersurfaces at generic Levi degeneracies. | |
| dc.description | 31 pages, AMS-TeX format; the normal form has been extended to the indefinite case | |
| dc.identifier | https://arxiv.org/abs/math/9804001 | |
| dc.identifier | http://arxiv.org/abs/math/9804001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76775 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F25, 32F40 (Primary) | |
| dc.title | New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy | |
| dc.type | text |