On equivalence problem for 2--nondegenerate CR geometries with simple\n models

2019/06/03 by Jan Gregorovič, Gregorovič, Jan · 2 citations
Mathematics · #Holomorphic and Operator Theory #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1906.00848

Abstract

In this article, we solve the equivalence problem for 2--nondegenerate CR\ngeometries that have (at every point) a homogeneous space G/H as a maximally\nsymmetric model for G simple real Lie group of CR automorphisms. This\ncompletes the classification of real submanifolds in complex space that are\nmaximally symmetric models with a real simple CR automorphism group. In\nparticular, we construct (local) embeddings of these models into complex space.\n

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