论文标题
$π$ - manifolds的联系和异构动作嵌入
Contact and isocontact embedding of $π$-manifolds
论文作者
论文摘要
我们证明了一些平滑嵌入定理的接触类似物，用于封闭的$π$ -Manifolds。我们表明，封闭的$ k $连接，$π$ - 尺寸的manifold（2n + 1），它限制了$π$ - manifold，在$（4N-2K + 3）$ - 尺寸的欧几里得空间中的联系人嵌入与标准接触结构。我们还证明了一些$π$ - manifolds和可行的歧管的ISOCONTACT嵌入结果。
We prove some contact analogs of smooth embedding theorems for closed $π$-manifolds. We show that a closed, $k$-connected, $π$-manifold of dimension (2n + 1) that bounds a $π$-manifold, contact embeds in the $(4n-2k+3)$-dimensional Euclidean space with the standard contact structure. We also prove some isocontact embedding results for $π$-manifolds and parallelizable manifolds.
