Monomialization of singular metrics on real surfaces

被引：0

作者：

Grandjean, Vincent ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, Campus Pici,Bloco 914, BR-60455760 Fortaleza, CE, Brazil

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期

关键词：

Singular metrics; Singular surfaces; Resolution of singularities; Singular foliations; Simple singularities of foliations; Hsiang and Pati property; RESOLUTION; REDUCTION;

D O I：

10.1007/s13398-019-00715-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a result of monomialization of regular 2-symmetric tensors over regular real surfaces. For the inner metric of an embedded real surface singularity, the result obtained for the regular extension of the pull-back of the inner metric over a resolved surface is more precise for applications than a Hsiang and Pati type resolution of singularities.

引用

页码：4171 / 4210

页数：40

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