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Polar coordinates on singular Riemannian surfaces. (Coordonnées polaires sur les surfaces riemanniennes singulières.) (French) Zbl 0711.53017

Nous étudions les conditions sous lesquelles un point d’une surface riemannienne possède un voisinage pouvant être paramétrisé par des coordonnées polaires. Le point en question peut être un point régulier ou un point singulier conique. Nous étudions aussi la régularité de ces coordonnées polaires en fonction de la régularité de la courbure.
Reviewer: M.Troyanov

MSC:

53B20 Local Riemannian geometry
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References:

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