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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5705 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-5705 |
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irk-123456789-57052010-02-03T12:01:09Z On the Group of Foliation Isometries Narmanov, A.Yu. Sharipov, A.S. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/5705 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Narmanov, A.Yu. Sharipov, A.S. |
| spellingShingle |
Narmanov, A.Yu. Sharipov, A.S. On the Group of Foliation Isometries |
| author_facet |
Narmanov, A.Yu. Sharipov, A.S. |
| author_sort |
Narmanov, A.Yu. |
| title |
On the Group of Foliation Isometries |
| title_short |
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_sort |
on the group of foliation isometries |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/5705 |
| 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. |
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AT narmanovayu onthegroupoffoliationisometries AT sharipovas onthegroupoffoliationisometries |
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2023-03-24T08:34:12Z |
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2023-03-24T08:34:12Z |
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1796139299815555072 |