论文标题
曲目叶子覆盖的基本自动形态
Basic automorphism of Cartan foliations covered by fibrations
论文作者
论文摘要
cartan叶子$（m，f）$的基本自动形态组$ {a} _b（m，f）$是普通亚组的$（m，f）$的自动形态组的商组，该组可保留每个叶子不变。对于纤维化覆盖的cartan叶子，我们发现了足够的条件，可以在其基本的自动形态群体中存在有限维谎言组的结构。获得这些组维度的估计值。对于具有Ehresmann连接的某些类别的Cartan叶子，指定了一种查找基本自动形态组的方法。
The basic automorphism group ${A}_B(M,F)$ of a Cartan foliation $(M, F)$ is the quotient group of the automorphism group of $(M, F)$ by the normal subgroup, which preserves every leaf invariant. For Cartan foliations covered by fibrations, we find sufficient conditions for the existence of a structure of a finite-dimensional Lie group in their basic automorphism groups. Estimates of the dimension of these groups are obtained. For some class of Cartan foliations with integrable an Ehresmann connection, a method for finding of basic automorphism groups is specified.
