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This article is cited in 1 scientific paper (total in 1 paper) Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds S. K. Vodopyanovab a Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia b Faculty of Mechanics and Mathematics of Novosibirsk National Research State University, Novosibirsk, Russia 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. Bibliography: 39 titles. Keywords: Riemannian manifold, quasi-isometric map, Sobolev space, composition operator.
DOI: https://doi.org/10.4213/sm8899   Full text:
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English version: Sbornik: Mathematics, 2019, 210:1, Bibliographic databases:    
UDC: 517.518+517.54 MSC: Primary 46E35, 58C25; Secondary 30C65 Received: 29.12.2016 and 19.07.2018 Citation: S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Mat. Sb., 210:1 (2019), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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