Warped tori with almost non-negative scalar curvature

被引：10

作者：

Allen, Brian ^{[1
]}

Hernandez-Vazquez, Lisandra ^{[2
]}

Parise, Davide ^{[3
]}

Payne, Alec ^{[4
]}

Wang, Shengwen ^{[5
]}

机构：

[1] US Mil Acad, Cullum Rd, West Point, NY 10996 USA

[2] SUNY Stony Brook, 100 Nicolls Rd, Stony Brook, NY 11794 USA

[3] Ecole Polytech Fed Lausanne, Stn 8,Batiment MA, CH-1015 Lausanne, Switzerland

[4] NYU, Courant Inst, 251 Mercer St, New York, NY 10012 USA

[5] Johns Hopkins Univ, 404 Krieger Hall, Baltimore, MD 21218 USA

来源：

GEOMETRIAE DEDICATA | 2019年 / 200卷 / 01期

基金：

瑞士国家科学基金会;

关键词：

Scalar torus rigidity theorem; Almost rigidity; Stability; Gromov-Hausdorff convergence; Sormani-Wenger intrinsic flat convergence; Warped products; Uniform convergence; Flat torus; Convergence of Riemannian manifolds;

D O I：

10.1007/s10711-018-0365-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For sequences of warped product metrics on a 3-torus satisfying the scalar curvature bound Rj = -1j, uniform upper volume and diameter bounds, and a uniform lower area bound on the smallest minimal surface, we find a subsequence which converges in both the Gromov-Hausdorff and the Sormani-Wenger intrinsic flat sense to a flat 3-torus.

引用

页码：153 / 171

页数：19

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