Geodesics in the Heisenberg Group
Abstract: We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from the center of the group.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Geodesics in the Heisenberg Group ; volume:3 ; number:1 ; year:2015 ; extent:13
Analysis and geometry in metric spaces ; 3, Heft 1 (2015) (gesamt 13)
- Urheber
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Hajłasz, Piotr
Zimmerman, Scott
- DOI
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10.1515/agms-2015-0020
- URN
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urn:nbn:de:101:1-2024041116282727095565
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 14.08.2025, 10:50 MESZ
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Beteiligte
- Hajłasz, Piotr
- Zimmerman, Scott
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