On the Group of Foliation Isometries
The purpose of our paper is to introduce some topology on the group GrF(M) of all Cr-isometries of foliated manifold (M, F), which depends on a foliation F and coincides with compact-open topology when F is an n-dimensional foliation. If the codimension of F is equal to n, convergence in our topolog...
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| Datum: | 2009 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5705 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Group of Foliation Isometries / A.Ya. Narmanov, A.S. Sharipov // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 195-200. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540605902553088 |
|---|---|
| author | Narmanov, A.Yu. Sharipov, A.S. |
| author_facet | Narmanov, A.Yu. Sharipov, A.S. |
| citation_txt | On the Group of Foliation Isometries / A.Ya. Narmanov, A.S. Sharipov // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 195-200. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| description | The purpose of our paper is to introduce some topology on the group GrF(M) of all Cr-isometries of foliated manifold (M, F), which depends on a foliation F and coincides with compact-open topology when F is an n-dimensional foliation. If the codimension of F is equal to n, convergence in our topology coincides with pointwise convergence, where n = dimM. It is proved that the group GrF(M) is a topological group with compact-open topology, where r ≥ 0. In addition it is showed some properties of F-compact-open topology.
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| first_indexed | 2025-11-24T16:13:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5705 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-11-24T16:13:09Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Narmanov, A.Yu. Sharipov, A.S. 2010-02-02T13:32:51Z 2010-02-02T13:32:51Z 2009 On the Group of Foliation Isometries / A.Ya. Narmanov, A.S. Sharipov // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 195-200. — Бібліогр.: 10 назв. — англ. 1029-3531 https://nasplib.isofts.kiev.ua/handle/123456789/5705 The purpose of our paper is to introduce some topology on the group GrF(M) of all Cr-isometries of foliated manifold (M, F), which depends on a foliation F and coincides with compact-open topology when F is an n-dimensional foliation. If the codimension of F is equal to n, convergence in our topology coincides with pointwise convergence, where n = dimM. It is proved that the group GrF(M) is a topological group with compact-open topology, where r ≥ 0. In addition it is showed some properties of F-compact-open topology. en Інститут математики НАН України On the Group of Foliation Isometries Article published earlier |
| spellingShingle | On the Group of Foliation Isometries Narmanov, A.Yu. Sharipov, A.S. |
| title | On the Group of Foliation Isometries |
| title_full | On the Group of Foliation Isometries |
| title_fullStr | On the Group of Foliation Isometries |
| title_full_unstemmed | On the Group of Foliation Isometries |
| title_short | On the Group of Foliation Isometries |
| title_sort | on the group of foliation isometries |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5705 |
| work_keys_str_mv | AT narmanovayu onthegroupoffoliationisometries AT sharipovas onthegroupoffoliationisometries |