A simplified Proof of the Hopf Conjecture

被引：0
|
作者：
Sabatini, Luca [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, Via A Scarpa 16, I-00100 Rome, Italy
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2024年 / 32卷 / 01期
关键词：
Manifolds without conjugate points; barycentre map;
D O I：
10.2478/auom-2024-0014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The use of the barycentre map between two copies of R-n, the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are flat, as conjectured by Hopf in 1948 and proved definitively by Burago and Ivanov in 1994.
引用
收藏
页码：265 / 270
页数：6
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