On the Group of Foliation Isometries

• Date: 2009
• Main Authors: Narmanov, A.Yu., Sharipov, A.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5705
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...