Normal forms in Cauchy-Riemann geometry

被引：7

作者：

Kolar, Martin ^{[1
]}

Kossovskiy, Ilya ^{[1
,2
]}

Zaitsev, Dmitri ^{[3
]}

机构：

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

[2] Univ Fed Santa Catarina, Dept Math, Florianopolis, SC, Brazil

[3] Trinity Coll Dublin, Sch Math, Dublin, Ireland

来源：

ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES | 2017年 / 681卷

基金：

爱尔兰科学基金会;

关键词：

REAL HYPERSURFACES; FINITE-TYPE; POLYNOMIAL-MODELS; AUTOMORPHISMS; SUBMANIFOLDS; CONNECTION; MANIFOLDS; SPACE; C-2;

D O I：

10.1090/conm/681/13685

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One of effective ways to solve the equivalence problem and describe moduli spaces for real submanifolds in complex space is the normal form approach. In this survey, we outline some normal form constructions in CR-geometry and formulate a number of open problems.

引用

页码：153 / 177

页数：25

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