Journal article

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.

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EPFL authors