On equivalence problem for 2--nondegenerate CR geometries with simple models
| Autor: | Jan Gregorovič |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Mathematics - Complex Variables General Mathematics 010102 general mathematics Symmetric model 32V40 32V35 32V30 32V05 53C30 53C10 Lie group Automorphism 01 natural sciences Differential Geometry (math.DG) Complex space Simple (abstract algebra) 0103 physical sciences Homogeneous space FOS: Mathematics Point (geometry) 010307 mathematical physics Complex Variables (math.CV) 0101 mathematics Equivalence (measure theory) Mathematics |
| Popis: | In this article, we solve the equivalence problem for 2--nondegenerate CR geometries that have (at every point) a homogeneous space $G/H$ as a maximally symmetric model for $G$ simple real Lie group of CR automorphisms. This completes the classification of real submanifolds in complex space that are maximally symmetric models with a real simple CR automorphism group. In particular, we construct (local) embeddings of these models into complex space. 28 pp., minor corrections |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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