On the two-systole of real projective spaces

被引：1

作者：

Ambrozio, Lucas ^{[1
]}

Montezuma, Rafael ^{[2
,3
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[2] Univ Massachusetts, Dept Math, Amherst, MA 01003 USA

[3] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2020年 / 36卷 / 07期

基金：

英国工程与自然科学研究理事会;

关键词：

Two-systole; minimal two-spheres; homogeneous three-spheres; integral-geometric formula; SURFACES;

D O I：

10.4171/RMI/1188

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an integral-geometric formula for minimal two-spheres inside homogeneous three-spheres, and use it to provide a characterisation of each homogeneous metric on the three-dimensional real projective space as the unique metric with the largest possible two-systole among metrics with the same volume in its conformal class.

引用

页码：1979 / 1988

页数：10

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