Ioffe, Alexander On regularity estimates for mappings between embedded manifolds. (English) Zbl 1168.49036 Control Cybern. 36, No. 3, 659-668 (2007). Summary: We describe a class of metric spaces such that for set-valued mappings into such spaces it is possible to give a precise expression of regularity moduli in terms of slopes of DeGiorgi-Marino-Tosques. We also show that smooth manifolds in Banach spaces endowed with the induced metric belong to this class. Cited in 6 Documents MSC: 49N60 Regularity of solutions in optimal control 49J53 Set-valued and variational analysis Keywords:metric regularity; slope; locally coherent space PDFBibTeX XMLCite \textit{A. Ioffe}, Control Cybern. 36, No. 3, 659--668 (2007; Zbl 1168.49036) Full Text: EuDML