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
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
