Division of Mathematics

Division of Mathematics

Xiuxiong Chen
Scientific Director
Address:
E-mail:
xiuxiongchen@imfp.org.cn

Selected Publications

  1. Gravitational instantons with faster than quadratic curvature decay. I.Chen, Gao; Chen, Xiuxiong. Acta Mathematica, 227 (2021), no. 2, 263–307.
  2. On the constant scalar curvature Kähler metrics (II)–Existence results.Chen, Xiuxiong; Cheng, Jingrui. Journal of the American Mathematical Society, 34 (2021), no. 4, 937–1009.
  3. On the constant scalar curvature Kähler metrics (I)–A priori estimates.Cheng, Jingrui. Journal of the American Mathematical Society, 34 (2021), no. 4, 909–936.
  4. Space of Ricci flows (II)–Part B: Weak compactness of the flows.Chen, Xiuxiong; Wang, Bing. Journal of Differential Geometry, 116 (2020), no. 1, 1–123.
  5. On the existence of constant scalar curvature Kähler metric: a new perspective.Chen, Xiuxiong. Ann. Math. Qué. 42 (2018), no. 2, 169–189.
  6. Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof.Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Journal of the American Mathematical Society, 28 (2015), no. 1, 235–278.
  7. Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π.Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Journal of the American Mathematical Society, 28 (2015), no. 1, 199–234.
  8. Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities.Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Journal of the American Mathematical Society, 28 (2015), no. 1, 183–197.
  9. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics.Chen, Xiuxiong; Sun, Song. Annals of Mathematics, (2) 180 (2014), no. 2, 407–454.
  10. Integral bounds on curvature and Gromov-Hausdorff limits.Chen, Xiuxiong; Donaldson, Simon Kirwan. J. Topol. 7 (2014), no. 2, 543–556.
  11. Volume estimates for Kähler-Einstein metrics and rigidity of complex structures.Chen, Xiuxiong; Donaldson, Simon Kirwan. J. Differential Geom. 93 (2013), no. 2, 191–201.
  12. Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Chen, Xiuxiong; Donaldson, Simon Kirwan. J. Differential Geom. 93 (2013), no. 2, 175–189.
  13. Space of Kähler metrics. III. On the lower bound of the Calabi energy and geodesic distance.Chen, Xiuxiong. Inventiones Mathematicae, 175 (2009), no. 3, 453–503.
  14. On conformally Kahler, Einstein manifolds.Chen, Xiuxiong; Lebrun, Claude; Weber, Brian. Journal of the American Mathematical Society, 21 (2008), no. 4, 1137–1168.
  15. On the Calabi flow. Chen, Xiuxiong; He, Weiyong. Amer. J. Math. 130 (2008), no. 2, 539–570.
  16. Ricci flow on Kähler-Einstein surfaces.Chen, Xiuxiong; Tian, Gang. Inventiones Mathematicae, 147 (2002), no. 3, 487–544.
  17. The space of Kähler metrics.Chen, Xiuxiong. J. Differential Geom. 56 (2000), no. 2, 189–234.
  18. On the lower bound of the Mabuchi energy and its application.Chen, Xiuxiong. Internat. Math. Res. Notices 2000, no. 12, 607–623.