On Lipschitz Rigidity of Complex Analytic Sets

被引：17

作者：

Fernandes, Alexandre ^{[1
]}

Sampaio, J. Edson ^{[1
,2
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, Rua Campus Pici S-N,Bloco 914, BR-60440900 Fortaleza, Ceara, Brazil

[2] BCAM Basque Ctr Appl Math, Mazarredo 14, Bilbao 48009, Basque, Spain

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 01期

关键词：

Lipschitz regularity; Tangent cone at infinity; Algebraic sets;

D O I：

10.1007/s12220-019-00162-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any complex analytic set in Cn which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of Cn must be an affine linear subspace of Cn itself. No restrictions on the singular set, dimension nor codimension are required. In particular, any complex algebraic set in Cn which is Lipschitz regular at infinity is an affine linear subspace.

引用

页码：706 / 718

页数：13

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