MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Convexity of reduced energy and mass angular momentum inequalities

Richard Schoen Department of Mathematics, Stanford University Xin Zhou Department of Mathematics, Stanford University

Differential Geometry mathscidoc:1610.10035

Annales Henri Poincare, 14, 1747-1773., 2013
In this paper, we extend the work in \cite{D}\cite{ChrusLiWe}\cite{ChrusCo}\cite{Co}. We weaken the asymptotic conditions on the second fundamental form, and we also give an $L^{6}-$norm bound for the difference between general data and Extreme Kerr data or Extreme Kerr-Newman data by proving convexity of the renormalized Dirichlet energy when the target has non-positive curvature. In particular, we give the first proof of the strict mass/angular momentum/charge inequality for axisymmetric Einstein/Maxwell data which is not identical with the extreme Kerr-Newman solution.
No keywords uploaded!
[ Download ] [ 2016-10-10 16:44:15 uploaded by xinzhou02 ] [ 580 downloads ] [ 0 comments ] [ Cited by 11 ] 
@inproceedings{richard2013convexity,
  title={Convexity of reduced energy and mass angular momentum inequalities },
  author={Richard Schoen, and Xin Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161010164415543638114},
  booktitle={Annales Henri Poincare},
  volume={14},
  pages={1747-1773.},
  year={2013},
}
Richard Schoen, and Xin Zhou. Convexity of reduced energy and mass angular momentum inequalities . 2013. Vol. 14. In Annales Henri Poincare. pp.1747-1773.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161010164415543638114.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved