Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane
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Publication:1897959
DOI10.1007/BF02104943zbMath0834.53049OpenAlexW2046838141MaRDI QIDQ1897959
Valeriĭ Nikolaevich Berestovskiĭ
Publication date: 18 September 1995
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02104943
Analysis on real and complex Lie groups (22E30) Existence theories for optimal control problems involving partial differential equations (49J20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)
Related Items (10)
Uniformity of \(cc\)-balls on some class of 2-step Carnot groups ⋮ Isometric embeddings into Heisenberg groups ⋮ Unnamed Item ⋮ Geodesics in the Heisenberg group ⋮ Casimir functions of free nilpotent Lie groups of steps 3 and 4 ⋮ Locally \(G\)-homogeneous Busemann \(G\)-spaces ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry ⋮ The isoperimetric problem for regular and crystalline norms in \({\mathbb{H}}^1\)
Cites Work
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