## 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.

Published in:
Ann. Inst. Fourier, 40, 4, 913-937
Year:
1990
Laboratories: