Locally homogeneous finitely nondegenerate CR-manifolds
| dc.creator | Fels, Gregor | |
| dc.date | 2006-06-01 | |
| dc.date.accessioned | 2026-07-07T07:14:43Z | |
| dc.date.available | 2026-07-07T07:14:43Z | |
| dc.description | Germs of locally homogeneous CR manifolds M can be characterized in terms of certain algebraic data, e.g., by CR-algebras. We give an explicit formula which relates the Levi form of such an M and its higher order analogues to the Lie brackets in certain finite dimensional Lie algebras. As an application we give a simple characterization of geometric properties of M such as minimality, k-nondegeneracy, holomorphic degeneracy etc. in purely algebraic terms. We present an example of a homogeneous 3-nondegenerate CR-manifold. We also determine a universal upper bound for the order k of k-nondegenerate orbits of real forms in flag manifolds. | |
| dc.identifier | https://arxiv.org/abs/math/0606032 | |
| dc.identifier | http://arxiv.org/abs/math/0606032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112995 | |
| dc.subject | Complex Variables | |
| dc.subject | Group Theory | |
| dc.subject | 32V05; 32V35 (primary); 57S25 (secondary) | |
| dc.title | Locally homogeneous finitely nondegenerate CR-manifolds | |
| dc.type | text |