Balogh, Zoltan; Penso, Valentina (2019). On singular sets of H-monotone maps. Journal of convex analysis, 26(1), pp. 1-14. Heldermann Verlag
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The purpose of our paper is to extend a result of Alberti and Ambrosio about singularity sets of monotone multivalued maps to the sub-Riemmanian setting of Heisenberg groups. We prove that the k-th horizontal singular set of an H-monotone multivalued map of the Heisenberg group Hⁿ, with values in R²ⁿ, is (2n+1-k, H)-rectifiable.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan, Penso, Valentina |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0944-6532 |
Publisher: |
Heldermann Verlag |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
26 Aug 2019 16:21 |
Last Modified: |
05 Dec 2022 15:30 |
BORIS DOI: |
10.7892/boris.132257 |
URI: |
https://boris.unibe.ch/id/eprint/132257 |
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