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Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Khler metrics

Xiuxiong Chen SONG SUN

Differential Geometry mathscidoc:1912.43454

Annals of Mathematics, 180, (2), 407-454, 2014
We prove that constant scalar curvature Khler metric adjacent to a fixed Khler class is unique up to isomorphism. The proof is based on the study of a fourth order evolution equation, namely, the Calabi flow, from a new geometric perspective, and on the geometry of the space of Khler metrics.
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@inproceedings{xiuxiong2014calabi,
  title={Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Khler metrics},
  author={Xiuxiong Chen, and SONG SUN},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114537130049014},
  booktitle={Annals of Mathematics},
  volume={180},
  number={2},
  pages={407-454},
  year={2014},
}
Xiuxiong Chen, and SONG SUN. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Khler metrics. 2014. Vol. 180. In Annals of Mathematics. pp.407-454. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221114537130049014.
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