Geodesics in the Heisenberg Group

• Autorzy: Piotr Hajłasz , Scott Zimmerman
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Heisenberg group; geodesics; Fourier series; isoperimetric inequality

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-03-09

zaakceptowano

2015-10-12

online

2015-10-29

Twórcy

autor

Piotr Hajłasz

• Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, USA

autor

Scott Zimmerman

• Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, USA

Bibliografia

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Identyfikatory

DOI

10.1515/agms-2015-0020