Academic Journal
The core of the Levi distribution [Le cœur de la distribution de Levi]
| العنوان: | The core of the Levi distribution [Le cœur de la distribution de Levi] |
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| المؤلفون: | Dall'Ara G. M., Mongodi S. |
| المساهمون: | Dall'Ara, G, Mongodi, S |
| بيانات النشر: | Ecole Polytechnique FR |
| سنة النشر: | 2023 |
| المجموعة: | Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| مصطلحات موضوعية: | CR manifold, Diederich-Fornæss index, geometric invariants of pseudoconvex domain, Levi form, Weakly pseudoconvex domain |
| الوصف: | We introduce a new geometrical invariant of CR manifolds of hypersurface type, which we call the "Levi core" of the manifold. When the manifold is the boundary of a smooth bounded pseudoconvex domain, we show how the Levi core is related to two other important global invariants in several complex variables: the Diederich-Fornæss index and the D'Angelo class (namely the set of D'Angelo forms of the boundary). We also show that the Levi core is trivial whenever the domain is of finite-type in the sense of D'Angelo, or the set of weakly pseudoconvex points is contained in a totally real submanifold, while it is nontrivial if the boundary contains a local maximum set. As corollaries to the theory developed here, we prove that for any smooth bounded pseudoconvex domain with trivial Levi core the Diederich-Fornæss index is 1 and the ∂-Neumann problem is exactly regular (via a result of Kohn and its generalization by Harrington). Our work builds on and expands recent results of Liu and Adachi-Yum. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000998942300001; volume:10; firstpage:1047; lastpage:1095; numberofpages:49; journal:JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES; https://hdl.handle.net/10281/427538; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85161044306 |
| DOI: | 10.5802/jep.239 |
| الاتاحة: | https://hdl.handle.net/10281/427538 https://doi.org/10.5802/jep.239 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.1761A22A |
| قاعدة البيانات: | BASE |
| DOI: | 10.5802/jep.239 |
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