Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups
Author:
Funder
Università di Pisa
Istituto Nazionale di Alta Matematica “Francesco Severi”
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10231-019-00918-w.pdf
Reference40 articles.
1. Agrachev, A., Barilari, D., Boscain, U.: A comprehensive introduction to sub-riemannian geometry. In: Cambridge Studies in Advanced Mathematics. Cambridge University Press (2019)
2. Alberti, G., Marchese, A.: On the differentiability of Lipschitz functions with respect to measures in the Euclidean space. Geom. Funct. Anal. 26(1), 1–66 (2016)
3. Ambrosio, L., Kirchheim, B.: Rectifiable sets in metric and Banach spaces. Math. Ann. 318(3), 527–555 (2000)
4. Bate, D.: Structure of measures in Lipschitz differentiability spaces. J. Am. Math. Soc. 28(2), 421–482 (2015)
5. Bellaiche, A.: The tangent space in sub-Riemannian geometry. J. Math. Sci. 83(4), 461–476 (1994)
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