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Sopra le varietà differenziabili

George Vranceanu — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

It is shown how the study of the differentiable manifolds imbedded in a Euclidean space can be based on Levi-Civita's notion of parallelism.

Sopra le curve chiuse sghembe

George Vranceanu — 1972

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Some properties of closed twisted curves are studied by using a spherical surface associated to them, according to a general procedure given by the Author in a recent paper [1]. Thus we obtain that an integer l can be associated to any closed twisted curve C and surface S containing C.

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