  We study the possibility that the universe is subjected to a deformation,
besides its expansion described by Friedmann's equations. The concept of smooth
deformation of a riemannian manifolds associated with the extrinsic curvature
is applied the standard FLRW cosmology. Starting from the resulting modified
Friedman's equation we study two possible solutions with six models for each
one in low redshift. In other to constrain the models, we calculate
deceleration, jerk and Hubble parameters and compare with different data as the
latest BAO/CMB + SNIa constraints, SNLS SNIa, x-ray galaxy clusters and the
gold sample (SNIa). As a result, we obtain a set of proper models compatible
with the current observational data.
