Stationary holomorphic discs and finite jet determination problems

被引：12

作者：

Bertrand, Florian ^{[1
]}

Blanc-Centi, Lea ^{[2
]}

机构：

[1] Univ Vienna, Dept Math, A-1090 Vienna, Austria

[2] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

MATHEMATISCHE ANNALEN | 2014年 / 358卷 / 1-2期

基金：

奥地利科学基金会;

关键词：

MAXIMAL REAL-SUBMANIFOLDS; CR AUTOMORPHISMS; COMPLEX-MANIFOLDS; THEOREM; HYPERSURFACES; MAPPINGS; PARAMETRIZATION; REGULARITY; GEOMETRY; MAPS;

D O I：

10.1007/s00208-013-0972-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a family of small analytic discs attached to Levi non-degenerate hypersurfaces in , which is globally biholomorphically invariant. We then apply this technique to study unique determination problems along Levi non-degenerate hypersurfaces that are merely of class . This method gives 2-jet determination results for germs of biholomorphisms, CR diffeomorphisms, as well as in the almost complex setting.

引用

页码：477 / 509

页数：33

共 47 条

[1]

[Anonymous], 1999, Princeton Mathematical Series

[2]

Baouendi M. S., 1997, ASIAN J MATH, V1, P1

[3] CR automorphisms of real analytic manifolds in complex space [J].