论文标题
真实形式给出的Lagrangian Submanifolds
Lagrangian submanifolds of Adjoint semisimple orbits given by real forms
论文作者
论文摘要
在两种情况下，我们发现了伴随半神轨道的一些拉格朗日亚曼菲尔德。首先，紧凑的情况（也称为广义标志歧管），我们证明，相对于KKS符号形式，可以将真实标志视为无限紧密的Lagrangian Submanifolds，我们给出了完整的分类。在第二个复杂情况下，我们证明了真实形式的轨道是拉格朗日的submanifolds，相对于Hermitian符号形式。
We found some Lagrangian submanifolds of the adjoint semisimple orbit in two cases. For the first, the compact case, also known as the Generalized flag manifolds, we prove that the real flags can be seen as infinitesimally tight Lagrangian submanifolds with respect to the KKS symplectic form and we give a complete classification. And for the second, the complex case, we prove that the orbits of real forms are Lagrangian submanifolds with respect to the Hermitian symplectic form.
