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Geodesics in Heisenberg Groups

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We obtain equations of geodesic lines in Heisenberg groups H2n+1and prove that the ideal boundary of the Heisenberg group H2n+1is a sphere S2n-1with a natural CR-structure and corresponding Carnot-Carathéodory metric, i.e. it is a one-point compactification of the Heisenberg group H2n-1of the next dimension in a row.

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MARENICH, V. Geodesics in Heisenberg Groups. Geometriae Dedicata 66, 175–185 (1997). https://doi.org/10.1023/A:1004916117293

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  • DOI: https://doi.org/10.1023/A:1004916117293

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