Warped tori with almost non-negative scalar curvature
2019
Abstract
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.
Details
Title
Warped tori with almost non-negative scalar curvature
Author(s)
Allen, Brian ; Hernandez-Vazquez, Lisandra ; Parise, Davide ; Payne, Alec ; Wang, Shengwen
Published in
Geometriae Dedicata
Volume
200
Issue
1
Pages
153-171
Date
2019-06-01
Publisher
Dordrecht, SPRINGER
ISSN
0046-5755
1572-9168
1572-9168
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
GR-TR
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > GR-TR - Troyanov Group
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2019-06-18