A condition of smallness of girth on sub-Finsler spaces

DOI10.1007/S10958-016-2953-4zbMath1377.53096OpenAlexW2471777669MaRDI QIDQ2520413

Yuriĭ Viktorovich Dymchenko

Publication date: 13 December 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2953-4

zbMATH Keywords

sub-Finsler space

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Sub-Riemannian geometry (53C17) (G)-structures (53C10)

Cites Work

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• On Carnot-Caratheodory metrics
• Sub-Finsler geometry in dimension three
• Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
• Monotone functions and quasiconformal mappings on Carnot groups
• Equality of the capacity and module of a condenser on a sub-Finsler space
• Null-sets criteria for weighted Sobolev spaces
• Confromal invariants and function-theoretic null-sets
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• A metric characterization of Carnot groups
• A note on the area and coarea formulas for general volume densities and some applications

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