论文标题
复杂空间形式的同质拉格朗日叶子
Homogeneous Lagrangian foliations on complex space forms
论文作者
论文摘要
我们对复杂空间形式的全体形态等轴测动作进行了分类,其轨道为拉格朗日亚曼福尔德(Lagrangian Submanifolds),直到轨道等效性。唯一的例子是复杂的欧几里得空间的拉格朗日仿射子空间叶,以及复杂双曲线空间的拉格朗日肉眼叶。
We classify holomorphic isometric actions on complex space forms all whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subspace foliations of complex Euclidean spaces, and Lagrangian horocycle foliations of complex hyperbolic spaces.