Hamiltonian minimality of normal bundles over the isoparametric submanifolds
Hamiltonian minimality of normal bundles over the isoparametric submanifolds
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DOI：
10.1016/j.difgeo.2014.09.004
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发表时间：
2014-12
影响因子：
0.5
通讯作者：
T. Kajigaya
中科院分区：
文献类型：
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作者：
T. Kajigaya
设N是紧致半单李群G的复旗流形，它作为伴随作用的主轨道标准地嵌入到G的李代数g中。证明了N在g中的法丛是切空间Tg中的哈密顿极小拉格朗日子流形，而切空间Tg自然被认为是复欧氏空间。此外，我们还在欧氏空间中的完全不可约等参子流形类中指定了具有这一性质的复旗流形。
Let N be a complex flag manifold of a compact semi-simple Lie group G, which is standardly embedded in the Lie algebra g of G as a principal orbit of the adjoint action. We show that the normal bundle of N in g is a Hamiltonian minimal Lagrangian submanifold in the tangent space T g which is naturally regarded as the complex Euclidean space. Moreover, we specify the complex flag manifolds with this property in the class of full irreducible isoparametric submanifolds in the Euclidean space.