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Conformal tori with almost non-negative scalar curvature
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Chu, Jianchun and Lee, Man-Chun (2022) Conformal tori with almost non-negative scalar curvature. Calculus of Variations and Partial Differential Equations, 61 (3). 114. doi:10.1007/s00526-022-02220-9 ISSN 0944-2669.
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Official URL: http://dx.doi.org/10.1007/s00526-022-02220-9
Abstract
In this work, we consider sequence of metrics with almost non-negative scalar curvature on torus. We show that if the sequence is uniformly conformal to another sequence of metrics with bounded Ricci geometry, then it converges to a flat metric in the volume preserving intrinsic flat sense, the measured Gromov–Hausdorff sense and Lp sense. Moreover, similar stability also holds on manifolds with non-positive Yamabe invariant.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||
Publisher: | Springer | ||||||
ISSN: | 0944-2669 | ||||||
Official Date: | 22 April 2022 | ||||||
Dates: |
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Volume: | 61 | ||||||
Number: | 3 | ||||||
Article Number: | 114 | ||||||
DOI: | 10.1007/s00526-022-02220-9 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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