MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

On the free boundary min-max geodesics

Xin Zhou Massachusetts Institute of Technology

Differential Geometry mathscidoc:1610.10032

International Mathematics Research Notices, 5, 1447-1466, 2016
Given a Riemannian manifold and a closed submanifold, we find a geodesic segment with free boundary on the given submanifold. This is a corollary of the min–max theory which we develop in this article for the free boundary variational problem. In particular, we develop a modified Birkhoff curve shortening process to achieve a strong “Colding–Minicozzi” type min–max approximation result.
No keywords uploaded!
[ Download ] [ 2016-10-10 16:18:39 uploaded by xinzhou02 ] [ 1128 downloads ] [ 0 comments ] 
@inproceedings{xin2016on,
  title={On the free boundary min-max geodesics},
  author={Xin Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161010161839465364111},
  booktitle={International Mathematics Research Notices},
  volume={5},
  pages={1447-1466},
  year={2016},
}
Xin Zhou. On the free boundary min-max geodesics. 2016. Vol. 5. In International Mathematics Research Notices. pp.1447-1466. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161010161839465364111.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved