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Science China Mathematics

, Volume 62, Issue 1, pp 157–170 | Cite as

Conformal Ricci flow on asymptotically hyperbolic manifolds

  • Peng LuEmail author
  • Jie Qing
  • Yu Zheng
Articles
  • 23 Downloads

Abstract

In this article, we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi’s type curvature derivative estimate for conformal Ricci flow.

Keywords

conformal Ricci flow asymptotically hyperbolic manifolds short time existence local Shi’s curvature derivative estimates 

MSC(2010)

53C25 58J05 

Notes

Acknowledgements

Peng Lu was partially supported by Simons Foundation Collaboration (Grant No. 229727). Jie Qing was partially supported by National Science Foundation of USA (Grant No. DMS-1608782). Yu Zheng was partially supported by National Natural Science Foundation of China (Grant No. 11671141). The first author thanks the visiting program for scholars from abroad at Peking University and Professor Xiaohua Zhu for the warm hospitality and support. Peng Lu and Jie Qing thank Beijing International Center for Mathematical Research, where part of this work was carried out during the summer of 2017. Finally, the authors thank the referees for helpful suggestions.

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsUniversity of California at Santa CruzSanta CruzUSA
  3. 3.School of Mathematical SciencesEast China Normal UniversityShanghaiChina

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