Coordonnées polaires sur les surfaces riemanniennes singulières (polar coordinates on singular Riemannian surfaces)
We study conditions under which a point of a Riemannian surface has a neighborhood that can be parametrized by polar coordinates. The point under investigation can be a regular point or a conical singularity. We also study the regularity of these polar coordinates in relation with the regularity of the curvature.
Record created on 2007-12-17, modified on 2016-10-13