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Creators/Authors contains: "Huang, Zhijie"

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  1. ; ; ; ; (, Proceedings of the 2019 IEEE International Symposium on Information Theory (ISIT’2019))
    Accepted Manuscript Full Text Available
  2. ; ; (, Communications in analysis and geometry)
    Let (M,g,\phi) be a solution to the Ricci flow coupled with the heat equation for a scalar field \phi. We show that a complete, \kappa-noncollapsed solution (M,g,\phi) to this coupled Ricci flow with a Type I singularity at time T<\infty will converge to a non-trivial Ricci soliton after parabolic rescaling, if the base point is Type I singular. A key ingredient is a version of Perelman pseudo-locality for the coupled Ricci flow. 
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    Accepted Manuscript Full Text Available