REMARKS ON THE SYMMETRIES OF A MODEL HYPERSURFACE

被引：0

作者：

Kolar, M. ^{[1
]}

Meylan, F. ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, Kotlarska 2, Brno 61137, Czech Republic

[2] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland

来源：

ANALYSIS MATHEMATICA | 2022年 / 48卷 / 02期

关键词：

real hypersurface in C-N; finite jet determination; real-analytic in-finitesimal CR automorphism; INFINITESIMAL CR AUTOMORPHISMS; FINITE JET DETERMINATION; REAL HYPERSURFACES; POLYNOMIAL-MODELS; SUBMANIFOLDS; PARAMETRIZATION; DISCS; SPACE;

D O I：

10.1007/s10476-022-0157-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this partly expository paper, we deal with sharp jet determination results following from a generalization of the Chern-Moser theory to Levi degenerate hypersurfaces with polynomial models, as obtained in [30]. We formulate the jet determination results for finitely smooth hypersurfaces of finite type. Another goal of the paper is to gain more understanding of the symmetries for such hypersurfaces, which violate 2-jet determination. Finally, we collect and state some open problems regarding the existence of graded components of strictly positive weight of the Lie Algebra of symmetries for the model hypersurface

引用

页码：545 / 565

页数：21

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