English

K\"ahler tori with almost non-negative scalar curvature

Differential Geometry 2022-04-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2112.04834,
  title  = {K\"ahler tori with almost non-negative scalar curvature},
  author = {Jianchun Chu and Man-Chun Lee},
  journal= {arXiv preprint arXiv:2112.04834},
  year   = {2022}
}

Comments

13 pages, minor mistakes corrected