Rigot, Séverine; Wenger, Stefan Lipschitz non-extension theorems into jet space Carnot groups. (English) Zbl 1203.53028 Int. Math. Res. Not. 2010, No. 18, 3633-3648 (2010). It is interesting to consider Lipschitz extension theorems for Lipschitz maps. This paper studies Lipschitz maps with target spaces being jet spaces equipped with a left invariant Riemannian distances, as well as jet spaces equipped with a left invariant sub-Riemannian Carnot Carathéodory distance. This jet space gives a model for a certain class of C-C groups. The authours derive that there is not any extension results for Lipschitz maps with respect to this jet space. Reviewer: Peibiao Zhao (Nanjing) Cited in 13 Documents MSC: 53C17 Sub-Riemannian geometry 58A30 Vector distributions (subbundles of the tangent bundles) Keywords:Lipschitz maps; sub-Riemannian spaces; Carnot-Carathéodory spaces PDFBibTeX XMLCite \textit{S. Rigot} and \textit{S. Wenger}, Int. Math. Res. Not. 2010, No. 18, 3633--3648 (2010; Zbl 1203.53028) Full Text: DOI arXiv