Shi Yuguang

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Shi Yuguang is a Chinese mathematician who studies Riemannian geometry . He is a professor at Peking University .

Quoted as Yuguang Shi in Western literature.

Life

Shi received her PhD from the Chinese Academy of Sciences in 1996 with Weiyue Ding ( Regularity and Existence Theory for Harmonic Maps from Manifolds with Bounded Measurable Riemannian Metrics ).

In 2010 he received the ICTP Ramanujan Prize for contributions to the theory of non-compact complete Riemann manifolds, specifically for his proof of the positivity of quasi-local mass and the rigidity of asymptotic hyperbolic manifolds. The investigations play a role for the difficult questions of the strictly mathematical definition of mass and energy in general relativity (which also includes the proof of their respective positivity).

Fonts

  • with Luen-Fai Tam: Quasi-local mass and the existence of horizons . Preprint 2005, arxiv : math / 0511398
  • with Luen-Fai Tam: Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature . In: Journal of Differential Geometry , Volume 62, 2002, pp. 79-125
  • with Xu-Qian Fan, Luen-Fai Tam: Large-sphere and small-sphere limits of the Brown-York mass . In: Communications in Analysis and Geometry , Volume 17, 2009, pp. 37-72
  • with Gang Tian : Rigidity of asymptotically hyperbolic manifolds . In: Communications in Mathematical Physics , Volume 259, 2005, pp. 545-559
  • with Xue Hu, Jie Qing: Regularity and rigidity of asymptotically hyperbolic manifolds . In: Advances in Mathematics , Volume 230, 2012, pp. 2332-2363

Web links

References and comments

  1. Shi Yuguang in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used