论文标题
高阶Levi在均匀Cr歧管上形成
Higher order Levi forms on homogeneous CR manifolds
论文作者
论文摘要
我们调查了较弱的非等级同质$ cr $歧管上的高级李维斯形式的非平稳性。改善先前的结果，我们证明，复杂标志歧管中真实形式的一般轨道的订单较小或等于$ 3 $，而紧凑型旋转的轨道则较少或等于〜$ 2 $。最后，我们由Lee扩展构建，弱非等级$ CR $ vector束，并以任意的非排效顺序。
We investigate the nondegeneracy of higher order Levi forms on weakly nondegenerate homogeneous $CR$ manifolds. Improving previous results, we prove that general orbits of real forms in complex flag manifolds have order less or equal $3$ and the compact ones less or equal~$2$. Finally we construct by Lee extensions weakly nondegenerate $CR$ vector bundles with arbitrary orders of nondegeneracy.
