Differentiability of projective transformations in dimension 2

被引：0

作者：

Lang, Julius ^{[1
]}

机构：

[1] Friedrich Schiller Univ Jena, Fac Math & Comp Sci, Ernst Abbe Pl 2, D-07743 Jena, Germany

来源：

ADVANCES IN GEOMETRY | 2020年 / 20卷 / 04期

关键词：

Projective transformation; path geometry; projective equivalence; geometry of webs;

D O I：

10.1515/advgeom-2019-0023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proven by elementary methods that in dimension 2, every locally injective continuous map, sending the curves of a C-k-spray to curves of another C-k-spray as oriented point sets, is a C-k-diffeomorphism. This extends the result [1] for dimension three and higher from 1965.

引用

页码：553 / 557

页数：5

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