Volume estimates for kahler-einstein metrics and rigidity of complex structures

X-X. Chen Stony Brook University S.K. Donaldson Imperial College

Differential Geometry mathscidoc:1609.10297

Journal of Differential Geometry, 93, (2), 191-201, 2013
This paper extends our earlier results to higher dimensions using a different approach, based on the rigidity of complex structures on certain domains. We prove a “low energy” result in all dimensions, in the sense that if normalized energy in a large ball is small enough, then the normalized energy in any interior ball must also be small.
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@inproceedings{x-x.2013volume,
  title={VOLUME ESTIMATES FOR KAHLER-EINSTEIN METRICS AND RIGIDITY OF COMPLEX STRUCTURES},
  author={X-X. Chen, and S.K. Donaldson},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914073629936055959},
  booktitle={Journal of Differential Geometry},
  volume={93},
  number={2},
  pages={191-201},
  year={2013},
}
X-X. Chen, and S.K. Donaldson. VOLUME ESTIMATES FOR KAHLER-EINSTEIN METRICS AND RIGIDITY OF COMPLEX STRUCTURES. 2013. Vol. 93. In Journal of Differential Geometry. pp.191-201. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914073629936055959.
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