Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the Group of Foliation Isometries
Репозиторій DSpace/Manakin
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On the Group of Foliation Isometries
Посилання:
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.
Дата:
2009
Переглядів:
1226
Завантажень:
437
Анотація:
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.
