\(C^{1,1-\varepsilon}\) isometric embeddings
This paper is devoted to the construction of isometric emebeddings of \(n\)-dimensional manifolds in codimension \(1+n(n+1)/2\). The techniques of convex integration as well as ideas of \textit{A. Källen} [Ark. Mat. 16, 29--50 (1978; Zbl 0381.35014)] and \textit{H. Kröner} [``Irregular Isometric Embeddings of Compact Manifolds'', Master Thesis Mathematics, Institute for Applied Mathematics (2012)] are used to improve results on the regularity of these isometric embeddings.
scientific article; zbMATH DE number 7880403
scientific article