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Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature—Part II

  • Richard H. BamlerEmail author
  • Qi S. Zhang
Article

Abstract

In this paper we analyze the behavior of the distance function under Ricci flows whose scalar curvature is uniformly bounded. We will show that on small time-intervals the distance function is \(\frac{1}{2}\)-Hölder continuous in a uniform sense. This implies that the distance function can be extended continuously up to the singular time.

Mathematics Subject Classification

53C44 

Notes

References

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    Bamler, R., Zhang, Q.: Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature (2015). arXiv:1501.01291
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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUC BerkeleyBerkeleyUSA
  2. 2.Department of MathematicsUniversity of CaliforniaRiversideUSA

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