论文标题
在水平浸入圆盘中的脂肪分布中$(4,6)$
On Horizontal Immersions of Discs in Fat Distributions of Type $(4,6)$
论文作者
论文摘要
在本文中,我们讨论了圆盘的水平浸入某些corank-$ 2 $脂肪分布,$ 6 $二维流形。复杂$ 3 $歧管上的圆锥形触点分布的基本实际分布属于此类。这里提出的主要结果表明,相关的非线性PDE是可逆的。使用它,我们证明存在嵌入式水平圆盘的细菌。
In this article we discuss horizontal immersions of discs in certain corank-$2$ fat distributions on $6$-dimensional manifolds. The underlying real distribution of a holomorphic contact distribution on a complex $3$ manifold belongs to this class. The main result presented here says that the associated nonlinear PDE is locally invertible. Using this we prove the existence of germs of embedded horizontal discs.