Balogh, Zoltán M; Calogero, Andrea (2021). Infinite geodesics of sub-Finsler distances in Heisenberg groups. International Mathematics Research Notices, 2021(7), pp. 4805-4837. Oxford University Press 10.1093/imrn/rnz074
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We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control theory we prove that in this geometric setting the infinite geodesics are horizontal lines under the assumption that the sub-Finsler metric is defined by a strictly convex norm. This
answers a question posed in [8] and has applications in the characterization of isometric embeddings into Heisenberg groups.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1073-7928 |
Publisher: |
Oxford University Press |
Funders: |
[42] Schweizerischer Nationalfonds |
Projects: |
Projects 165507 not found. |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
04 Feb 2022 15:24 |
Last Modified: |
05 Dec 2022 16:04 |
Publisher DOI: |
10.1093/imrn/rnz074 |
BORIS DOI: |
10.48350/164647 |
URI: |
https://boris.unibe.ch/id/eprint/164647 |
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