I will present the deformation of Kilian-Schmidt in the context of minimal surfaces of SxR. The annuli remain embedded along the deformation. This work is related to the proof of the uniqueness of Clifford torus in 𝕊³ and Riemann examples in ℝ³.

We will give some result in minimal surfaces theory in HxR (hyperbolic plane product with R) and in Nil(Heisenberg riemannian space) linked with the theory of harmonic unnivalent maps.