  Self-dual solitons of Chern-Simons Higgs theory are examined in curved
spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs
theory within path integral formalism and study various aspects of dual
formulation including derivation of Bogomolnyi type bound. We find all possible
rotationally-symmetric soliton configurations carrying magnetic flux and
angular momentum when underlying spatial manifolds of these objects comprise a
cone, a cylinder, and a two sphere.
