Corpus ID: 237504991

Identifying 1-rectifiable measures in Carnot groups

@inproceedings{Badger2021Identifying1M,
  title={Identifying 1-rectifiable measures in Carnot groups},
  author={Matthew Badger and Sean Li and Scott Zimmerman},
  year={2021}
}
We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. In particular, extending a theorem of the first author and R. Schul in Euclidean space, for an arbitrary locally finite Borel measure in an arbitrary Carnot group, we develop tests that identify the part of the measure that is carried by rectifiable curves and the part of the measure that is singular to rectifiable curves. Our main… Expand

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