Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A GENERAL RICCI FLOW SYSTEM

  • Wu, Jia-Yong (Department of Mathematics Shanghai Maritime University)
  • Received : 2017.01.07
  • Accepted : 2017.12.15
  • Published : 2018.03.01
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Abstract

In this paper, we introduce a general Ricci flow system, which is closely linked with the Ricci flow and the renormalization group flow, etc. We prove the short-time existence, the entropy functionals, the higher derivatives estimates and the compactness theorem for this general Ricci flow system on closed Riemannian manifolds. These basic results are useful tools to understand the singularities of this system.

Keywords

References

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