An isoperimetric problem on the Lobachevsky plane with a left-invariant Finsler structure

DOI10.1134/s0081543823020153zbMath1528.53069OpenAlexW4386702468MaRDI QIDQ6072983

V. A. Myrikova

Publication date: 15 September 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823020153

zbMATH Keywords

optimal controlisoperimetric problemPontryagin maximum principleupper half-planeinvariant Finsler metricisoperimetric loops

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

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• On a quasihyperbolic plane
• Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry
• Convex trigonometry with applications to sub-Finsler geometry
• The Isoperimetric Problem in the Minkowski Plane