  The concept of smooth deformation of Riemannian manifolds associated with the
extrinsic curvature is explained and applied to the FLRW cosmology. We show
that such deformation can be derived from Einstein-Hilbert-like dynamical
principle producing an observable effect in the sense of Noether. As a result,
we notice on how the extrinsic curvature compensates both quantitative and
qualitative difference between the cosmological constant $ \Lambda$ and the
vacuum energy $\rho_{vac}$ obtaining the observed upper bound for the
cosmological constant problem at electroweak scale. The topological
characteristics of the extrinsic curvature are discussed showing that the
produced extrinsic scalar curvature is an evolving dynamical quantity.
