On sub-Riemannian and Riemannian structures on the Heisenberg groups
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Publication:315759
DOI10.1007/s10883-016-9316-9zbMath1347.53029OpenAlexW2339851688WikidataQ115383670 ScholiaQ115383670MaRDI QIDQ315759
Publication date: 23 September 2016
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-016-9316-9
Riemannian geometryHeisenberg groupgeodesicssub-Riemannian geometryisometriesconjugate locustotally geodesic subgroups
Existence theories for optimal control problems involving ordinary differential equations (49J15) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)
Related Items
Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups, Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group, A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms, Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification, Derivations of two-step nilpotent algebras, Biderivations of low-dimensional Leibniz algebras
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