Аннотация
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.
Язык оригинала | английский |
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Страницы (с-по) | 59-104 |
Число страниц | 46 |
Журнал | Sbornik Mathematics |
Том | 210 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 янв 2019 |