Remarks on global sub-Lorentzian geometry

DOI10.1007/s13324-013-0059-4zbMath1294.53031OpenAlexW1997709252WikidataQ59303766 ScholiaQ59303766MaRDI QIDQ390262

Marek Grochowski

Publication date: 23 January 2014

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-013-0059-4

zbMATH Keywords

distributionsvector bundlesindefinite metrics on vector bundles

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)

Related Items (11)

Graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Area formula for graph surfaces on five-dimensional sub-Lorentzian structures ⋮ The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure ⋮ Sub-Lorentzian coarea formula for mappings of Carnot groups ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Causality and topology in sub-Lorentzian geometry ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures ⋮ Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures

Cites Work

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• Properties of reachable sets in the sub-Lorentzian geometry
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• On Levi's problem and the imbedding of real-analytic manifolds
• Local controllability and sufficient conditions in singular problems
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• Reachable sets for contact sub-Lorentzian structures on \(\mathbb R^3\). Application to control affine systems on \(\mathbb R^3\) with a scalar input
• Functional analysis and time optimal control
• Smooth Distributions Are Globally Finitely Spanned
• Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
• Shortest paths for sub-Riemannian metrics on rank-two distributions
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