Removal of Isolated Singularities of Generalized Quasiisometries on Riemannian Manifolds
A bstract For mappings with unbounded characteristics, we prove theorems on removal of isolated singularities on Riemannian manifolds. We prove that if a mapping satisfies certain prototype inequality of absolute values and its quasiconformity characteristic has a majorant of finite average oscillat...
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Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.250 (4), p.611-621 |
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Format: | Artikel |
Sprache: | eng |
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bstract
For mappings with unbounded characteristics, we prove theorems on removal of isolated singularities on Riemannian manifolds. We prove that if a mapping satisfies certain prototype inequality of absolute values and its quasiconformity characteristic has a majorant of finite average oscillation at a fixed singular point, then it has a limit at that point. |
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ISSN: | 1072-3374 1573-8795 |
DOI: | 10.1007/s10958-020-05031-5 |