Unique continuation results for Ricci curvature and applications
Differential Geometry
2009-11-13 v2
Abstract
Unique continuation results are proved for metrics with prescribed Ricci curvature in the setting of bounded metrics on compact manifolds with boundary, and in the setting of complete, conformally compact metrics. Related to this issue, an isometry extension property is proved: continuous groups of isometries at conformal infinity extend into the bulk of any complete conformally compact Einstein metric. Relations of this property with the invariance of the Gauss-Codazzi constraint equations under deformations are also discussed.
Cite
@article{arxiv.0710.1305,
title = {Unique continuation results for Ricci curvature and applications},
author = {Michael T. Anderson and Marc Herzlich},
journal= {arXiv preprint arXiv:0710.1305},
year = {2009}
}
Comments
32 pages, supercedes math.DG/0501067; final published version