%0 Journal Article
%T Minimizability of developable Riemannian foliations
%A Hiraku Nozawa
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s10455-010-9203-7
%X Let (M,F) be a closed manifold with a Riemannian foliation. We show that the secondary characteristic classes of the Molino's commuting sheaf of (M,F) vanish if (M,F) is developable and the fundamental group of M is of polynomial growth. By theorems of \'{A}lvarez L\'{o}pez, our result implies that (M,F) is minimizable under the same conditions. As a corollary, we show that (M,F) is minimizable if F is of codimension 2 and the fundamental group of M is of polynomial growth.
%U http://arxiv.org/abs/0909.4508v3