De Cecco, Giuseppe; Palmieri, Giuliana Intrinsic distance on a Lipschitz Riemannian manifold. (Italian. English summary) Zbl 0719.53047 Rend. Semin. Mat., Torino 46, No. 2, 157-170 (1988). Summary: The classical concept of length of a curve and hence of intrinsic distance induced by a Riemannian metric is extended to LIP manifolds with LIP Riemannian metric. The main difficulties arise from the fact that neither the changes of charts are differentiable nor the metric verifies the ellipticity condition everywhere, but only almost everywhere. Cited in 6 Documents MSC: 53C70 Direct methods (\(G\)-spaces of Busemann, etc.) Keywords:length; curve; intrinsic distance; LIP manifolds PDFBibTeX XMLCite \textit{G. De Cecco} and \textit{G. Palmieri}, Rend. Semin. Mat., Torino 46, No. 2, 157--170 (1988; Zbl 0719.53047)