Geodesic
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

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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.
Mots-clés : Heisenberg group, geodesics, Fourier series, isoperimetric inequality 
@article{AGMS_2015_3_1_a12,
     author = {Haj{\l}asz, Piotr and Zimmerman, Scott},
     title = {Geodesics in the {Heisenberg} {Group}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2015},
     volume = {3},
     number = {1},
     zbl = {1328.53039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a12/}
}
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Hajłasz, Piotr; Zimmerman, Scott. Geodesics in the Heisenberg Group. Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a12/