论文标题
在一类全球分析性低纤维化总和上
On a Class of Globally Analytic Hypoelliptic Sums of Squares
论文作者
论文摘要
我们考虑在圆环上全球定义的正方形操作员的总和。我们表明，如果满足了某些假设，则操作员是全球分析性低纤维化的。假设的目的是排除沿着沿cotangent束的纤维的特征性品种的汉密尔顿叶子的存在，即（全球）Métivier操作员的情况。
We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of the assumptions is to rule out the existence of a Hamilton leaf on the characteristic variety lying along the fiber of the cotangent bundle, i.e. the case of the (global) Métivier operator.
