Title of article
ON THE ISOMETRIES OF FOLIATED MANIFOLD
Author/Authors
SHARIPOV, A.S. The National University of Uzbekistan, Uzbekistan , NARMANOV, A.YA. National University of Uzbekistan, Uzbekistan
From page
127
To page
133
Abstract
The purpose of our paper is to introduce a topology on the group G^r_F (M) of all isometries of foliated manifold (M , F) of the class C^r which depends on the foliation F and coincides with compact open topology when F is an n- dimensional foliation. If codimension of F is equal to n, convergence in the introduced topology coincides with pointwise convergence. Some properties of introduced topology are showed.
Keywords
Riemannian manifold , foliation , isometric mapping of foliated manifold , geodesic line , foliated compact open topology
Journal title
TWMS Journal of Pure and Applied Mathematics
Journal title
TWMS Journal of Pure and Applied Mathematics
Record number
2527748
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