Rigidity Of Quasi-Isometries of Hmn Associated With Non-Diagonalizable Derivation of the Heisenberg Algebra

muhammad amin anggawi;

We study quasi-isometries of the homogeneous manifold with negative curvature associated with a non-diagonalizable derivation of the Heisenberg algebra. We show that all quasi-isometries are almost isometries.We prove this by finding all the quasi-symmetric maps on the ideal boundary.