On the equicontinuity of families of inverse mappings of Riemannian manifolds

DOI10.1007/s10958-020-04771-8zbMath1448.58007OpenAlexW3012957799WikidataQ115382199 ScholiaQ115382199MaRDI QIDQ2202649

D. P. Il'yutko, Evgeny Aleksandrovich Sevost'yanov

Publication date: 29 September 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-020-04771-8

zbMATH Keywords

mappings with bounded and finite distortionmoduli of families of pathslocal and boundary behaviors of mappings

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Calculus on manifolds; nonlinear operators (58C99)

Related Items (2)

On the local and boundary behaviour of inverse maps on Riemannian manifolds ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds

Cites Work

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• The Beltrami equations and prime ends
• On local properties of one class of mappings on Riemannian manifolds
• Generalized quasi-isometries on smooth Riemannian manifolds
• On boundary behavior of mappings with two normalized conditions
• On the convergence of mappings in metric spaces with direct and inverse modulus conditions
• Lectures on \(n\)-dimensional quasiconformal mappings
• Mappings with finite length distortion
• Moduli in Modern Mapping Theory
• Differential Topology
• On convergence theorems for space quasiregular mappings

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