Geodesics in the Heisenberg group: an elementary approach

zbMath1299.53104MaRDI QIDQ2454488

Guennadi A. Noskov

Publication date: 13 June 2014

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: http://semr.math.nsc.ru/v5/p177-188.pdf

zbMATH Keywords

Heisenberg groupgeodesicisoperimetric problem

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (6)

Isometric embeddings into Heisenberg groups ⋮ Curvatures of homogeneous sub-Riemannian manifolds ⋮ Extremals of a left-invariant sub-Finsler metric on the Engel group ⋮ Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions

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