  We propose an extension of the color-kinematics duality for nonlinear sigma
models with nonsymmetric cosets. The role of color is played by curvatures in
field space. The duality between curvature and kinematics allows for a new
double copy: the double copy of the nonlinear sigma model for nonsymmetric
cosets is the general Galileon theory. We provide evidence for this new double
copy of geometry.
