  We consider a 4+N-dimensional brane world with 2 co-dimension 1 branes in an
empty bulk. The two branes have N-1 of their extra dimensions compactified on a
sphere S^(N-1), whereas the ordinary 4 spacetime directions are Poincare
invariant. An essential input are induced stress-energy tensors on the branes
providing different tensions for the spherical and flat part of the branes. The
junction conditions - notably through their extra dimensional components - fix
both the distance between the branes as well as the size of the sphere. As a
result, we demonstrate, that there are no scalar Kaluza-Klein states at all
(massless or massive), that would correspond to a radion or a modulus field of
S^(N-1). We also discuss the effect of induced Einstein terms on the branes and
show that their coefficients are bounded from above, otherwise they lead to a
graviton ghost.
