The Lip-lip equality is stable under blow-up
Metric Geometry
2016-02-19 v3 Classical Analysis and ODEs
Differential Geometry
Abstract
We show that at generic points blow-ups/tangents of differentiability spaces are still differentiability spaces; this implies that an analytic condition introduced by Keith as an inequality (and later proved to actually be an equality) passes to tangents. As an application, we characterize the -weak gradient on iterated blow-ups of differentiability spaces.
Keywords
Cite
@article{arxiv.1505.06363,
title = {The Lip-lip equality is stable under blow-up},
author = {Andrea Schioppa},
journal= {arXiv preprint arXiv:1505.06363},
year = {2016}
}
Comments
minor corrections: change of normalization of the measures; The final version will appear in Calc. Var. PDE