Допустимые замены переменных для функций классов Соболева на (суб)римановых многообразиях

Translated title of the contribution: Admissible changes of variables for Sobolev functions on (sub)-Riemannian manifolds

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Abstract

We consider the properties of measurable maps of complete Riemannian manifolds which induce by composition isomorphisms of the Sobolev classes with generalized first variables whose exponent of integrability is distinct from the (Hausdorff) dimension of the manifold. We show that such maps can be re-defined on a null set so that they become quasi-isometries
Translated title of the contributionAdmissible changes of variables for Sobolev functions on (sub)-Riemannian manifolds
Original languageRussian
Pages (from-to)63-112
Number of pages50
JournalМатематический сборник
Volume210
Issue number1
DOIs
Publication statusPublished - 2019

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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