Metric differentiation, monotonicity and maps to L^1

Details Metric differentiation, monotonicity and maps to L^1 Metric differentiation, monotonicity and maps to L^1

2009-07-19

arxiv.org/abs/0907.3295v2

Mathematics

Metric Geometry

Added a missing condition to Definition 5.3. Also made a number of minor corrections, and added a reference to a paper by Lee-

Scientific paper

We give a new approach to the infinitesimal structure of Lipschitz maps into L^1. As a first application, we give an alternative proof of the main theorem from an earlier paper, that the Heisenberg group does not admit a bi-Lipschitz embedding in L^1. The proof uses the metric differentiation theorem of Pauls and the cut metric decomposition to reduce the nonembedding argument to a classification of monotone subsets of the Heisenberg group.

Affiliated with

Also associated with

No associations

Rating

Metric differentiation, monotonicity and maps to L^1 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Metric differentiation, monotonicity and maps to L^1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Metric differentiation, monotonicity and maps to L^1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-585939