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42-XX Harmonic analysis on Euclidean spaces
42Axx Harmonic analysis in one variable
42A05 Trigonometric polynomials, inequalities, extremal problems

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Geodesics in the Heisenberg Group

Piotr Hajłasz, Scott Zimmerman (2015)

Analysis and Geometry in Metric Spaces

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.

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