可展黎曼叶理的极小化
Minimizability of developable Riemannian foliations
摘要：
设（M，F）是一个具有黎曼叶状的闭流形.证明了当（M，F）是可展群且M的基本群是多项式增长群时，（M，F）的Molino交换层的第二特征类为零.通过Alvarez López的定理，我们的结果意味着在相同的条件下（M，F）是可极小化的。作为推论，我们证明了（M，F）是可极小的，如果F是余维2，且M的基本群是多项式增长的.
英文摘要：
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 Álvarez López, 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.
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