Ultradifferentiable CR Manifolds
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | The Journal of Geometric Analysis |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s12220-019-00191-6 |
| Doi | http://dx.doi.org/10.1007/s12220-019-00191-6 |
| Keywords | CR mappings; Infinitesimal CR automorphisms; Ultradifferentiable CR manifolds; Ultradifferentiable regularity |
| Description | In this article, the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here, ultradifferentiable means with respect to Denjoy–Carleman classes defined by weight sequences. Furthermore, the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated. |
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