A microlocal characterization of Lipschitz continuity
Algebraic Geometry
2018-11-27 v2 Differential Geometry
Abstract
We study continuous maps between differential manifolds from a microlocal point of view. In particular, we characterize the Lipschitz continuity of these maps in terms of the microsupport of the constant sheaf on their graph. Furthermore, we give lower and upper bounds on the microsupport of the graph of a continuous map and use these bounds to characterize strict differentiability in microlocal terms.
Cite
@article{arxiv.1611.04644,
title = {A microlocal characterization of Lipschitz continuity},
author = {Benoit Jubin},
journal= {arXiv preprint arXiv:1611.04644},
year = {2018}
}
Comments
42 pages; v2: simplified proof of Thm 6.9, small and notational changes; to appear in Publ. RIMS