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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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2009
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| Онлайн доступ: | 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 |
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-5705 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the Group of Foliation Isometries |
| spellingShingle |
On the Group of Foliation Isometries Narmanov, A.Yu. Sharipov, A.S. |
| 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 |
| author |
Narmanov, A.Yu. Sharipov, A.S. |
| author_facet |
Narmanov, A.Yu. Sharipov, A.S. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.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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2025-11-24T16:13:09Z |
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2025-11-24T16:13:09Z |
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1850851983866462208 |