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.
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页码：4171 / 4210
页数：40
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