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Two-jets of conformal fields along their zero sets

Andrzej Derdzinski (2012)

Open Mathematics

The connected components of the zero set of any conformal vector field v, in a pseudo-Riemannian manifold (M, g) of arbitrary signature, are of two types, which may be called ‘essential’ and ‘nonessential’. The former consist of points at which v is essential, that is, cannot be turned into a Killing field by a local conformal change of the metric. In a component of the latter type, points at which v is nonessential form a relatively-open dense subset that is at the same time a totally umbilical...

Un théorème d'unicité de l'hélicoïde

Eric Toubiana (1988)

Annales de l'institut Fourier

Nous montrons qu’une surface minimale complété, plongée dans R 3 / Z , de courbure totale finie et homéomorphe a S 2 moins deux points est l’hélicoïde.

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