arXiv:2112.04834 Abstract | arXiv Analytics

arXiv:2112.04834 [math.DG]Abstract References Reviews Resources

Kähler tori with almost non-negative scalar curvature

Published 2021-12-09, updated 2022-04-12Version 2

Motivated by the torus stability problem, in this work we study K\"ahler metrics with almost non-negative scalar curvature on complex torus. We prove that after passing to a subsequence, non-collapsing sequence of K\"ahler metrics with almost non-negative scalar curvature will converge to flat torus weakly.

Comments: 13 pages, minor mistakes corrected

Categories: math.DG

Keywords: non-negative scalar curvature, kähler tori, torus stability problem, flat torus, complex torus

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