-energy of a curve on LIP-manifolds and on general metric spaces.

De Cecco, Giuseppe; Palmieri, Giuliana

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Displaying similar documents to “ $p$ -energy of a curve on LIP-manifolds and on general metric spaces.”

Length of curves on Lip manifolds

Giuseppe De Cecco, Giuliana Palmieri (1990)

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

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In this paper the length of a curve on a Lipschitz Riemannian manifold is defined. It is shown that the above definition is consistent with the definition of the geodesic distance already introduced by the authors, both in a geometrical and analytical way.