On the Group of Foliation Isometries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Group of Foliation Isometries
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| Creator |
Narmanov, A.Yu.
Sharipov, A.S. |
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| 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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| Date |
2010-02-02T13:32:51Z
2010-02-02T13:32:51Z 2009 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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