论文标题
本地标准$ t^k $ -manifolds的平滑分类
Smooth classification of locally standard $T^k$-manifolds
论文作者
论文摘要
我们研究本地标准$ t^k $ -manifolds $ m $。特别是,我们研究了轨道映射$π的连续部分:m \ rightarrow m/t $。我们将满足这些条件的$ t^k $ - manifolds分类至等效性差异。
We study locally standard $T^k$-manifolds $M$. In particular, we study the case where there is a continuous section to the orbit map $π: M \rightarrow M/T$. We give a classification of $T^k$-manifolds satisfying these conditions up to equivariant diffeomorphism.