  In the last years higher dimensional physics has won importance. Despite the
Superstrings, higher dimensional effects, in measurable scales of energy (some
TeV), became only possible with Randall-Sundrum's models (RS). In particular,
recent studies in neutrino and axion physics have proposed new and interesting
questions about neutrino mixings and new scales intermediating the Weak and
Planck scales. In this work we discuss field theoretic models that in some
aspects are similar to the RS models. Indeed, our models contain domain walls,
solitonic-like objects that mimics the branes of the RS models. Applications
are discussed ranging from topological field theories in higher dimensions
until models containing D=5 space-time torsion in the RS scenario. In
particular, we talk about subjects related to topological gravity, the
hierarchy problem and axion physics. The topological terms studied are
generalizations for $D>4$ of the axion-foton coupling in D=4. Such procedure
involves naturally the Kalb-Ramond field. By dimensional reductions we obtain
topological terms of the $B\wedge F$ type in D=4 Chern-Simons-like and
$B\wedge\partial\phi$ type both in D=3.
