  We study regular non-semisimple Dubrovin-Frobenius manifolds in dimensions
2,3,4. We focus on the case where the Jordan canonical form of the operator of
multiplication by the Euler vector field has a single Jordan block. Our results
rely on the existence of special local coordinates introduced in [4] for
regular flat F-manifolds with Euler vector field. In such coordinates the
invariant metric of the Dubrovin-Frobenius manifold takes a special form which
is the starting point of our construction.
