On the Geometric Structure of the Continuos Mappings Preserving the Orientation of Simplexes

DOI10.18500/1816-9791-2017-17-3-294-303zbMath1392.30009OpenAlexW2762728327MaRDI QIDQ5374403

Nikita Alekseevich Chebanenko, Vladimir Aleksandrovich Klyachin

Publication date: 10 April 2018

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu725

zbMATH Keywords

affine mappingmonotone mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (1)

On geometrical properties of continuous mappings which preserve orientation of simplices

Cites Work

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• Some conditions for the existence of the total differential
• Problems of homeomorphism arising in the theory of grid generation
• On stagnation zones in superslow processes
• Monotone functions and quasiconformal mappings on Carnot groups
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• ACL and differentiability of a generalization of quasi-conformal maps

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