MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Singular Ricci flows I

Bruce Kleiner Courant Institute of Mathematical Sciences John Lott University of California at Berkeley

Differential Geometry mathscidoc:1911.43015

Acta Mathematica, 219, (1), 65 – 134, 2017
We introduce singular Ricci flows, which are Ricci flow spacetimes subject to certain asymptotic conditions. These provide a solution to the long-standing problem of finding a good notion of Ricci flow through singularities, in the 3-dimensional case. We prove that Ricci flow with surgery, starting from a fixed initial condition, subconverges to a singular Ricci flow as the surgery parameter tends to zero. We establish a number of geometric and analytical properties of singular Ricci flows.
No keywords uploaded!
[ Download ] [ 2019-11-26 16:03:03 uploaded by actaadmin ] [ 1074 downloads ] [ 0 comments ] 
@inproceedings{bruce2017singular,
  title={Singular Ricci flows I},
  author={Bruce Kleiner, and John Lott},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191126160303835778526},
  booktitle={Acta Mathematica},
  volume={219},
  number={1},
  pages={65 – 134},
  year={2017},
}
Bruce Kleiner, and John Lott. Singular Ricci flows I. 2017. Vol. 219. In Acta Mathematica. pp.65 – 134. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191126160303835778526.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved