Minimizability of developable Riemannian foliations
Differential Geometry
2010-09-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.0909.4508,
title = {Minimizability of developable Riemannian foliations},
author = {Hiraku Nozawa},
journal= {arXiv preprint arXiv:0909.4508},
year = {2010}
}
Comments
15 pages, correction of misprints